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Asymptotics of 5d Supergravity Theories and the Emergent String Conjecture

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Pith's one-line read This paper proves that every infinite distance limit in the vector multiplet moduli space of five-dimensional N=1 supergravity is either a vector limit or a tensor limit.

desk verdict A genuinely bottom-up classification of infinite distance limits in 5d N=1 supergravity, carefully argued but with a load-bearing BPS completeness assumption that the abstract overstates. read the letter →

arxiv 2412.12251 v1 pith:SZMKJQR4 submitted 2024-12-16 hep-th

Lukas Kaufmann , Stefano Lanza , Timo Weigand This is my paper · ORCID
classification hep-th
keywords five-dimensionalN=1supergravityinfinitedistancelimitsEmergentStringConjecturestringsChern-Simonscouplingsvectortensorswampland
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

Five-dimensional supergravity theories with eight supercharges can run off to boundaries of their vector multiplet moduli space at infinite distance. This paper shows that, once the spectrum contains a mild form of BPS-complete supergravity strings, the Chern-Simons couplings of the prepotential must be non-negative, and from that input every infinite distance limit is either a vector limit or a tensor limit. In a vector limit a unique one-form gauge field becomes weakly coupled at the rate of a Kaluza-Klein gauge field descending from six dimensions; in a tensor limit a unique two-form becomes weakly coupled at the rate of the Kalb-Ramond field of a critical string, always accompanied by at least one one-form. Because these are the only two possibilities, the authors conclude that every consistent five-dimensional N=1 supergravity with a non-compact vector multiplet moduli space either descends from six dimensions or contains a stringy subsector, which they read as bottom-up evidence for the Emergent String Conjecture.

What carries the argument

The central object is the supergravity string, a BPS string whose defining property is that all BPS particles carry non-negative charge under the gauge field for which the string carries minimal magnetic charge. Its worldsheet 't Hooft anomaly matrix $k_{IJ}^{(p)} = F_{IJK} p^K$ must have signature $(1, r-1)$ — one positive eigenvalue and the rest negative or zero — and this signature, together with the weak BPS completeness assumption, forces the prepotential's Chern-Simons couplings $F_{IJK}$ to be non-negative and to satisfy the additional constraints collected in Tables 4.1, 5.1 and 5.2. The prepotential $F = \frac{1}{3!} F_{IJK} X^I X^J X^K$ controls the scalar metric, the gauge kinetic matrix $f_{IJ} = F_I F_J - F_{IJ}$ and the Chern-Simons terms, so those constraints translate directly into bounds on how one-form and two-form couplings scale toward an infinite-distance boundary.

What would settle it

A concrete test: exhibit a five-dimensional N=1 supergravity satisfying all the anomaly-signature constraints whose moduli space has an infinite distance limit in which two different two-forms become weakly coupled at the identical fastest rate, or in which the fastest two-form has no one-form becoming weakly coupled at the same rate; the classification predicts that neither configuration can exist.

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Extended reading notes

Core claim

The paper's central claim is a classification theorem for the boundary of the vector multiplet moduli space. For any five-dimensional N=1 supergravity with eight supercharges that satisfies a weak BPS completeness condition for supergravity strings, consistency of those strings implies that the Chern-Simons couplings $F_{IJK}$ of the prepotential are non-negative in every simplicial Kähler subcone. Under that input, every infinite distance limit is either a Class A limit or a Class B limit: Class A limits are always vector limits with a unique weakly coupled one-form $A_{\min} = \sum_i c_i A_i$ (with $c_i = F_{00i}$) and $q_{\min}^2 \sim \lambda^{-4}$; Class B limits with a single fastest coordinate are either tensor limits, with a unique two-form $Q_{\min}^2 \sim \lambda^{-2}$ always accompanied by weakly coupled one-forms, or vector limits, depending on the rate at which the other coordinates fall; and Class B limits with several fastest coordinates are vector limits with $q_{\min}^2 \sim \lambda^{-4}$. The exponential rates of these couplings reproduce the Kaluza-Klein gauge-field rate $e^{-\alpha d}$ with $\alpha = 2/\sqrt{3}$ and the critical-string Kalb-Ramond rate with $\alpha = 1/\sqrt{3}$, which the authors read as evidence that every such theory either decompactifies to six dimensions or contains an emergent critical string.

Load-bearing premise

The load-bearing assumption is that the spectrum of supergravity strings is complete in a weak sense: along every ray of elementary string charges at least one actual string exists, and its worldsheet anomalies have one positive and the rest negative or vanishing eigenvalues; if the spectrum is incomplete, the derived constraints and uniqueness results collapse.

Editorial extensions

If this is right

  • Every infinite distance limit in the vector multiplet moduli space of a consistent five-dimensional N=1 supergravity is either a vector limit or a tensor limit, with no third possibility.
  • In a vector limit the fastest-decaying gauge field is a unique one-form whose coupling obeys $q_{\min}^2 \sim \lambda^{-4}$, i.e. it decays as $e^{-\alpha d}$ with $\alpha = 2/\sqrt{3}$, exactly the Kaluza-Klein gauge-field rate for a circle decompactification from six to five dimensions.
  • In a tensor limit the fastest-decaying two-form is unique, is always accompanied by at least one one-form at the same rate, and obeys $Q_{\min}^2 \sim \lambda^{-2}$, decaying as $e^{-\alpha d}$ with $\alpha = 1/\sqrt{3}$, matching the Kalb-Ramond field of a critical string at weak coupling.
  • Any consistent five-dimensional N=1 supergravity with a non-compact vector multiplet moduli space either descends from six dimensions or contains a stringy subsector.
  • For a tensor limit, the higher-derivative gravitational Chern-Simons coefficient $C_0$ of the emergent string must be either $0$ (Type II) or $24$ (heterotic).

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • A natural extension would be to run the same probe-string consistency conditions in the hypermultiplet sector, where the uniqueness of the leading gauge field is not covered by the present proof; a counterexample there would not touch the vector-multiplet classification but would bound how far the mechanism generalizes.
  • The predicted dichotomy could be sharpened by computing $C_0$ in any concrete five-dimensional model known to admit a tensor limit; a value outside $\{0, 24\}$ would indicate a non-critical tensionless string, refining rather than refuting the vector/tensor classification.
  • The derivation of Chern-Simons non-negativity from worldsheet anomaly cancellation may transfer to six-dimensional N=(1,0) theories, where similar anomaly constraints could constrain the 6d supergravity landscape the authors point to.
  • Because the identification of the light towers with Kaluza-Klein or string modes invokes the Asymptotic Weak Gravity Conjecture, a theory satisfying all prepotential constraints while failing to produce such a tower would separate the supergravity classification from the Emergent String Conjecture rather than falsify the classification.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

3 major / 3 minor

Summary. The paper classifies infinite-distance limits in the vector multiplet moduli space of five-dimensional N=1 supergravity theories, assuming only the two-derivative prepotential data and a weak BPS completeness hypothesis for supergravity strings introduced in Section 2.3. Using the 't Hooft anomaly signature condition (2.30) for these strings, the authors derive non-negativity of the Chern-Simons couplings and additional constraints summarized in Tables 4.1, 5.1, and 5.2. On this basis they argue that every infinite-distance limit is either a vector limit, with a unique weakly coupled one-form scaling as q_min^2 ~ lambda^{-4}, or a tensor limit, with a unique weakly coupled two-form scaling as Q_min^2 ~ lambda^{-2} accompanied by one or several one-forms. Class A limits are always vector limits; Class B limits with |J_lambda|=1 can be tensor or vector limits, while Class B limits with |J_lambda|>1 are vector limits. The paper further computes the exponential rates (6.4) and (6.10) and interprets them as the Kaluza-Klein and emergent-string rates, respectively, presenting this as bottom-up evidence for the Emergent String Conjecture.

Significance. If the central assumptions are granted, the paper gives a systematic, bottom-up classification of infinite-distance limits in 5d N=1 supergravity without assuming a Calabi-Yau or string-theoretic origin. The derivation of Chern-Simons constraints from probe-string consistency is a substantive technical achievement, and the uniqueness results for the asymptotically leading one-form or two-form are nontrivial and clearly stated. The match of the derived rates with the 6d Kaluza-Klein rate and the 5d string-coupling rate is a valuable quantitative check. The main caveat is that the classification is conditional on the weak BPS completeness hypothesis of Section 2.3 and, for the physical interpretation, on the Asymptotic Tower Weak Gravity Conjecture; the abstract and conclusions do not always make this conditionality explicit.

major comments (3)
  1. [Section 2.3; Tables 4.1, 5.1, 5.2; abstract] The classification is conditional on the weak BPS completeness hypothesis, and this conditionality is not reflected in the abstract. The constraints in Tables 4.1, 5.1, and 5.2 each require a specific supergravity string: J2=∅ uses p(0)=δ0; F0ir≠0 uses p(i)=δi; Frst=0 uses p(r)=δr; J3=∅ in Class B uses p=(1,...,1); and the constraints in Table 5.2 use p(a)=δa and p(μ')=δμ'. If any of these strings is absent from the physical spectrum, the corresponding prepotential restriction is not enforced; for instance, a non-vanishing Frst in a would-be Class A limit could change the scaling of the gauge kinetic matrix and could produce a limit outside the vector/tensor dichotomy. Since the abstract states the dichotomy and the conclusion "every consistent 5d N=1 supergravity... either descends from six dimensions or contains a stringy subsector" unconditionally, the main theorem needs to be restated with the BPS completeness hypothesis explicitly included, or the summary claims need to be weakened accordingly.
  2. [Appendix A, point 3; Eq. (A.9)] The proof of non-negativity of FIJK for distinct indices is not completed. In the case FIII=FIJJ=FIIJ=0 with FIJK≠0, the argument below (A.8) considers a finite-distance scaling X^I~X^J~λ, X^K~λ^-2 and claims that Q^2_{δI} becomes negative when X^I=-(FIJK/FIIK)X^J. The subleading terms in (A.9) are not controlled enough to support this conclusion, and the claim that a negative value of the physical charge is inconsistent is invoked as a physical input rather than derived from the signature condition (2.30). Since non-negativity (2.32) is used throughout Sections 3-5, for example in the prepotential form (4.1) and in the scaling bounds, this gap is load-bearing. The authors should either supply a fully rigorous proof of (2.32) or state non-negativity as an explicit additional assumption of the classification.
  3. [Section 6.1; Section 7] The identification of vector limits with decompactification to six dimensions and tensor limits with emergent string limits goes beyond the supergravity-level classification. As acknowledged in Section 6.1, the existence of a tower of states charged under Amin is assumed via the Asymptotic Tower Weak Gravity Conjecture, and the interpretation of that tower as a Kaluza-Klein tower is an input from external arguments. The conclusion in Section 7 that every consistent 5d N=1 supergravity either descends from six dimensions or contains a potentially weakly coupled string subsector therefore does not follow from the classification theorem alone. I recommend that the abstract and conclusions explicitly separate the proven supergravity classification (vector/tensor dichotomy with uniqueness) from the conjectural Emergent String interpretation, or include the ATWGC assumption in the statement of the main result.
minor comments (3)
  1. [Page 3] There is a typo in "compcatification geometry" which should read "compactification geometry"; also "thanks due to" on the same page is redundant.
  2. [Section 3.1] The definitions of vector and tensor limits use the asymptotic relations "≺" and "∼" without explicitly stating whether these are meant along every geodesic path or only for the chosen affine parameterization; a short clarifying sentence would help.
  3. [Section 6.2, Eq. (6.16)] The prediction C0∈{0,24} assumes that the central charges of the emergent string are those of a critical string; this is a consequence of the Emergent String Conjecture rather than of the supergravity analysis, and it would be helpful to label it as a conjecture rather than a derived constraint.

Circularity Check

0 steps flagged · score 0.0 of 10

No circularity: the vector/tensor dichotomy is derived from supergravity-string consistency, not fitted to the Emergent String Conjecture.

full rationale

The derivation chain starts from two explicitly stated inputs: (i) the weak BPS completeness hypothesis of Section 2.3 and (ii) the 't Hooft anomaly signature (2.30) imported from [55]. From these, Sections 2.3, 4, 5 and Appendices A-C derive the non-negativity of FIJK, the constraints in Tables 4.1, 5.1, 5.2, and the scalings q2min~lambda^-4 and Q2min~lambda^-2, without invoking the Emergent String Conjecture. The vector/tensor nomenclature is motivated by [7], but the proofs that every Class A limit is a vector limit, that Class B limits with |J_lambda|>1 are vector limits, and that Class B limits with J_lambda={0} are either tensor or vector limits use only prepotential scaling and supergravity-string consistency. The interpretation of vector limits as decompactification limits and tensor limits as emergent string limits is explicitly conditional: Section 6.1 states that the Asymptotic Tower Weak Gravity Conjecture and the Kaluza-Klein interpretation are 'a non-trivial assumption going beyond our analysis.' Thus the central classification is a conditional derivation rather than an equivalence to its inputs by construction. The only self-citation ([7]) supplies an analogous Calabi-Yau classification and terminology, but no load-bearing theorem is taken from it.

Assumptions & free parameters 0 free parameters · 5 assumptions · 0 invented entities

The central claim rests on the BPS completeness hypothesis and the external signature theorem, plus the assumption that a single Kähler subcone covers the limit path. The interpretation step additionally assumes the Asymptotic Weak Gravity Conjecture. No new entities are introduced; the supergravity strings are from [55]. No numerical parameters are fitted: scaling exponents and coupling constraints are derived.

assumptions (5)
  • domain assumption Weak BPS completeness: for each ray of elementary supergravity string charges there exists a physical string in the spectrum for at least one charge on the ray.
    Section 2.3, page 10. This is the foundational input that turns probe strings into constraints on the prepotential. The paper explicitly calls it 'the key assumption'.
  • domain assumption The 't Hooft anomaly matrix of a supergravity string has signature (1, r-1) (one positive eigenvalue).
    Section 2.2, eq. (2.30), taken from [55]. This signature condition drives the Chern-Simons non-negativity and all subsequent constraints. It is an external physics result, not derived here.
  • domain assumption The path towards the infinite distance limit can be described in a single simplicial Kähler subcone.
    Section 3.2, footnote 12. The classification assumes no switching between cones at infinity, guaranteed only for geodesic paths.
  • domain assumption Asymptotic Weak Gravity Conjecture: a tower of at most marginally super-extremal states is charged under the weakly coupled gauge field.
    Section 6.1, stated as 'a non-trivial assumption going beyond our analysis'. Needed to interpret vector limits as 6d decompactification and tensor limits as emergent strings.
  • standard math The prepotential is a homogeneous cubic polynomial with integer coefficients F_IJK.
    Section 2.1, eqs. (2.1)-(2.3). Standard form of 5d N=1 supergravity at two-derivative level.

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Pith. "Pith review of Asymptotics of 5d Supergravity Theories and the Emergent String Conjecture." pith.science (2026). https://pith.science/paper/SZMKJQR4

@misc{pith2026241212251,
  author       = {Pith},
  title        = {Pith review of: Asymptotics of 5d Supergravity Theories and the Emergent String Conjecture},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/SZMKJQR4}},
  note         = {Machine review of arXiv:2412.12251}
}
abstract

We invoke probe brane arguments to classify the asymptotic behavior of general five-dimensional supergravity theories with eight supercharges near infinite distance boundaries of the vector multiplet moduli space. Imposing consistency of supergravity strings we derive several constraints on the Chern-Simons couplings entering the prepotential, including their non-negativity. This establishes a classification of infinite distance limits analogous to those for theories obtained as Calabi-Yau compactifications, but without having to assume a geometric or string theoretic origin. All infinite distance limits are found to be either vector or tensor limits, depending on the nature of the gauge potential becoming weakly coupled at the fastest rate. In particular, we prove uniqueness results for the asymptotically leading gauge fields. The asymptotic physics along these limits is in perfect agreement with the predictions of the Emergent String Conjecture and hence serves as bottom-up evidence for the latter. Our findings imply that every consistent five-dimensional ${\cal N}=1$ supergravity with a non-compact vector multiplet moduli space either descends from six dimensions or contains a stringy subsector.

Figures

Figures reproduced from arXiv: 2412.12251 by the authors.

Figure 1
Figure 1. On the left we illustrate, in yellow, a subcone of the full K¨ahler cone (given by the union of the yellow and the hashed region) spanned by X i ≥ 0 to analyze an infinite distance point X∞. To describe a supergravity string charge p0 outside this subcone, we can pass to a new subcone that contains p0 along with X∞. component is in the I-th position. Now, fix a limit for which all the coordinates XJ → 0, with J ̸= I… view at source ↗

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Forward citations

Cited by 3 Pith papers

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Reference graph

Works this paper leans on

87 extracted references · 5 canonical work pages · cited by 3 Pith papers

  1. [55]

    Katz, H.-C

    S. Katz, H.-C. Kim, H.-C. Tarazi and C. Vafa, Swampland Constraints on 5d N = 1 Supergravity, JHEP 07 (2020) 080 [ 2004.14401]

    arXiv 2020

  2. [1]

    Vafa, The String landscape and the swampland , hep-th/0509212

    C. Vafa, The String landscape and the swampland , hep-th/0509212

    arXiv

  3. [2]

    Palti, The Swampland: Introduction and Review , Fortsch

    E. Palti, The Swampland: Introduction and Review , Fortsch. Phys. 67 (2019) 1900037 [1903.06239]

    arXiv 2019

  4. [3]

    van Beest, J

    M. van Beest, J. Calder´ on-Infante, D. Mirfendereski and I. Valenzuela, Lectures on the Swampland Program in String Compactifications , Phys. Rept. 989 (2022) 1 [ 2102.01111]

    arXiv 2022

  5. [4]

    Gra˜ na and A

    M. Gra˜ na and A. Herr´ aez,The Swampland Conjectures: A Bridge from Quantum Gravity to Particle Physics , Universe 7 (2021) 273 [ 2107.00087]

    arXiv 2021

  6. [5]

    N. B. Agmon, A. Bedroya, M. J. Kang and C. Vafa, Lectures on the string landscape and the Swampland , 2212.06187

    arXiv

  7. [6]

    Ooguri and C

    H. Ooguri and C. Vafa, On the Geometry of the String Landscape and the Swampland , Nucl. Phys. B766 (2007) 21 [ hep-th/0605264]

    arXiv 2007

  8. [7]

    S.-J. Lee, W. Lerche and T. Weigand, Emergent strings from infinite distance limits , JHEP 02 (2022) 190 [ 1910.01135]

    arXiv 2022

Show all 87 references
  1. [8]

    Baume and J

    F. Baume and J. Calder´ on Infante,Tackling the SDC in AdS with CFTs , JHEP 08 (2021) 057 [2011.03583]

    2021 arXiv

  2. [9]

    Perlmutter, L

    E. Perlmutter, L. Rastelli, C. Vafa and I. Valenzuela, A CFT distance conjecture , JHEP 10 (2021) 070 [ 2011.10040]

    2021 arXiv

  3. [10]

    Baume and J

    F. Baume and J. Calder´ on-Infante,On higher-spin points and infinite distances in conformal manifolds, JHEP 12 (2023) 163 [ 2305.05693]

    2023 arXiv

  4. [11]

    Ooguri and Y

    H. Ooguri and Y. Wang, Universal Bounds on CFT Distance Conjecture , 2405.00674

    arXiv

  5. [12]

    Calder´ on-Infante and I

    J. Calder´ on-Infante and I. Valenzuela,Tensionless String Limits in 4d Conformal Manifolds, 2410.07309

    arXiv

  6. [13]

    Etheredge, B

    M. Etheredge, B. Heidenreich, S. Kaya, Y. Qiu and T. Rudelius, Sharpening the Distance Conjecture in diverse dimensions , JHEP 12 (2022) 114 [ 2206.04063]. – 41 –

    2022 arXiv

  7. [14]

    Etheredge, B

    M. Etheredge, B. Heidenreich, J. McNamara, T. Rudelius, I. Ruiz and I. Valenzuela, Running Decompactification, Sliding Towers, and the Distance Conjecture , 2306.16440

    arXiv

  8. [15]

    Etheredge, B

    M. Etheredge, B. Heidenreich, T. Rudelius, I. Ruiz and I. Valenzuela, Taxonomy of Infinite Distance Limits, 2405.20332

    arXiv

  9. [16]

    Castellano, A

    A. Castellano, A. Herr´ aez and L. E. Ib´ a˜ nez,The emergence proposal in quantum gravity and the species scale , JHEP 06 (2023) 047 [ 2212.03908]

    2023 arXiv

  10. [17]

    van de Heisteeg, C

    D. van de Heisteeg, C. Vafa and M. Wiesner, Bounds on Species Scale and the Distance Conjecture, Fortsch. Phys. 71 (2023) 2300143 [ 2303.13580]

    2023 arXiv

  11. [18]

    Blumenhagen, A

    R. Blumenhagen, A. Gligovic and A. Paraskevopoulou, The emergence proposal and the emergent string, JHEP 10 (2023) 145 [ 2305.10490]

    2023 arXiv

  12. [19]

    van de Heisteeg, C

    D. van de Heisteeg, C. Vafa, M. Wiesner and D. H. Wu, Species scale in diverse dimensions, JHEP 05 (2024) 112 [ 2310.07213]

    2024 arXiv

  13. [20]

    Herr´ aez, D

    A. Herr´ aez, D. L¨ ust, J. Masias and M. Scalisi,On the Origin of Species Thermodynamics and the Black Hole - Tower Correspondence , 2406.17851

    arXiv

  14. [21]

    Dvali, Black Holes and Large N Species Solution to the Hierarchy Problem , Fortsch

    G. Dvali, Black Holes and Large N Species Solution to the Hierarchy Problem , Fortsch. Phys. 58 (2010) 528 [ 0706.2050]

    2010 arXiv

  15. [22]

    Dvali and M

    G. Dvali and M. Redi, Black Hole Bound on the Number of Species and Quantum Gravity at LHC , Phys. Rev. D 77 (2008) 045027 [ 0710.4344]

    2008 arXiv

  16. [23]

    Dvali and D

    G. Dvali and D. Lust, Evaporation of Microscopic Black Holes in String Theory and the Bound on Species , Fortsch. Phys. 58 (2010) 505 [ 0912.3167]

    2010 arXiv

  17. [24]

    Dvali and C

    G. Dvali and C. Gomez, Species and Strings , 1004.3744

    arXiv

  18. [25]

    Montero, C

    M. Montero, C. Vafa and I. Valenzuela, The dark dimension and the Swampland , JHEP 02 (2023) 022 [ 2205.12293]

    2023 arXiv

  19. [26]

    Fierro Cota, A

    C. Fierro Cota, A. Mininno, T. Weigand and M. Wiesner, The minimal weak gravity conjecture, JHEP 05 (2024) 285 [ 2312.04619]

    2024 arXiv

  20. [27]

    Heidenreich, M

    B. Heidenreich, M. Reece and T. Rudelius, Sharpening the Weak Gravity Conjecture with Dimensional Reduction, JHEP 02 (2016) 140 [ 1509.06374]

    2016 arXiv

  21. [28]

    Montero, G

    M. Montero, G. Shiu and P. Soler, The Weak Gravity Conjecture in three dimensions , JHEP 10 (2016) 159 [ 1606.08438]

    2016 arXiv

  22. [29]

    Andriolo, D

    S. Andriolo, D. Junghans, T. Noumi and G. Shiu, A Tower Weak Gravity Conjecture from Infrared Consistency, Fortsch. Phys. 66 (2018) 1800020 [ 1802.04287]

    2018 arXiv

  23. [30]

    S.-J. Lee, W. Lerche and T. Weigand, Tensionless Strings and the Weak Gravity Conjecture, JHEP 10 (2018) 164 [ 1808.05958]

    2018 arXiv

  24. [31]

    S.-J. Lee, W. Lerche and T. Weigand, A Stringy Test of the Scalar Weak Gravity Conjecture, Nucl. Phys. B 938 (2019) 321 [ 1810.05169]. – 42 –

    2019 arXiv

  25. [32]

    S.-J. Lee, W. Lerche and T. Weigand, Modular Fluxes, Elliptic Genera, and Weak Gravity Conjectures in Four Dimensions , JHEP 08 (2019) 104 [ 1901.08065]

    2019 arXiv

  26. [33]

    Klaewer, S.-J

    D. Klaewer, S.-J. Lee, T. Weigand and M. Wiesner, Quantum corrections in 4d N = 1 infinite distance limits and the weak gravity conjecture , JHEP 03 (2021) 252 [ 2011.00024]

    2021 arXiv

  27. [34]

    Lee and T

    S.-J. Lee and T. Weigand, Elliptic K3 surfaces at infinite complex structure and their refined Kulikov models, JHEP 09 (2022) 143 [ 2112.07682]

    2022 arXiv

  28. [35]

    S.-J. Lee, W. Lerche and T. Weigand, Physics of infinite complex structure limits in eight dimensions, JHEP 06 (2022) 042 [ 2112.08385]

    2022 arXiv

  29. [36]

    ´Alvarez-Garc ´ ıa, S.-J

    R. ´Alvarez-Garc ´ ıa, S.-J. Lee and T. Weigand,Non-minimal elliptic threefolds at infinite distance. Part I. Log Calabi-Yau resolutions , JHEP 08 (2024) 240 [ 2310.07761]

    2024 arXiv

  30. [37]

    ´Alvarez-Garc ´ ıa, S.-J

    R. ´Alvarez-Garc ´ ıa, S.-J. Lee and T. Weigand,Non-minimal Elliptic Threefolds at Infinite Distance II: Asymptotic Physics , 2312.11611

    arXiv

  31. [38]

    Collazuol, M

    V. Collazuol, M. Gra˜ na and A. Herr´ aez,E9 symmetry in the heterotic string on S 1 and the weak gravity conjecture, JHEP 06 (2022) 083 [ 2203.01341]

    2022 arXiv

  32. [39]

    Collazuol, M

    V. Collazuol, M. Gra˜ na, A. Herr´ aez and H. Parra De Freitas,Affine algebras at infinite distance limits in the Heterotic String , JHEP 07 (2023) 036 [ 2210.13471]

    2023 arXiv

  33. [40]

    ´Alvarez-Garc ´ ıa, D

    R. ´Alvarez-Garc ´ ıa, D. Kl¨ awer and T. Weigand,Membrane limits in quantum gravity , Phys. Rev. D 105 (2022) 066024 [ 2112.09136]

    2022 arXiv

  34. [41]

    Rudelius, Gopakumar-Vafa invariants and the Emergent String Conjecture , JHEP 03 (2024) 061 [ 2309.10024]

    T. Rudelius, Gopakumar-Vafa invariants and the Emergent String Conjecture , JHEP 03 (2024) 061 [ 2309.10024]

    2024 arXiv

  35. [42]

    Xu, On TCS G 2 manifolds and 4D emergent strings , JHEP 10 (2020) 045 [2006.02350]

    F. Xu, On TCS G 2 manifolds and 4D emergent strings , JHEP 10 (2020) 045 [2006.02350]

    2020 arXiv

  36. [43]

    Baume, F

    F. Baume, F. Marchesano and M. Wiesner, Instanton Corrections and Emergent Strings , JHEP 04 (2020) 174 [ 1912.02218]

    2020 arXiv

  37. [44]

    T. W. Grimm, E. Palti and I. Valenzuela, Infinite Distances in Field Space and Massless Towers of States , JHEP 08 (2018) 143 [ 1802.08264]

    2018 arXiv

  38. [45]

    T. W. Grimm, C. Li and E. Palti, Infinite Distance Networks in Field Space and Charge Orbits, JHEP 03 (2019) 016 [ 1811.02571]

    2019 arXiv

  39. [46]

    Corvilain, T

    P. Corvilain, T. W. Grimm and I. Valenzuela, The Swampland Distance Conjecture for K¨ ahler moduli, JHEP 08 (2019) 075 [ 1812.07548]

    2019 arXiv

  40. [47]

    T. W. Grimm, F. Ruehle and D. van de Heisteeg, Classifying Calabi–Yau Threefolds Using Infinite Distance Limits , Commun. Math. Phys. 382 (2021) 239 [ 1910.02963]

    2021 arXiv

  41. [48]

    Basile, Emergent Strings at an Infinite Distance with Broken Supersymmetry , Astronomy 2 (2023) 206 [ 2201.08851]

    I. Basile, Emergent Strings at an Infinite Distance with Broken Supersymmetry , Astronomy 2 (2023) 206 [ 2201.08851]

    2023 arXiv

  42. [49]

    Aoufia, I

    C. Aoufia, I. Basile and G. Leone, Species scale, worldsheet CFTs and emergent geometry , 2405.03683. – 43 –

    arXiv

  43. [50]

    Basile, D

    I. Basile, D. L¨ ust and C. Montella, Shedding black hole light on the emergent string conjecture, JHEP 07 (2024) 208 [ 2311.12113]

    2024 arXiv

  44. [51]

    Basile, N

    I. Basile, N. Cribiori, D. Lust and C. Montella, Minimal black holes and species thermodynamics, JHEP 06 (2024) 127 [ 2401.06851]

    2024 arXiv

  45. [52]

    Bedroya, R

    A. Bedroya, R. K. Mishra and M. Wiesner, Density of States, Black Holes and the Emergent String Conjecture, 2405.00083

    arXiv

  46. [53]

    Cribiori, D

    N. Cribiori, D. Lust and C. Montella, Species entropy and thermodynamics , JHEP 10 (2023) 059 [ 2305.10489]

    2023 arXiv

  47. [54]

    Heidenreich and T

    B. Heidenreich and T. Rudelius, Infinite distance and zero gauge coupling in 5D supergravity, Phys. Rev. D 104 (2021) 106016 [ 2007.07892]

    2021 arXiv

  48. [56]

    Lanza, F

    S. Lanza, F. Marchesano, L. Martucci and I. Valenzuela, Swampland Conjectures for Strings and Membranes , JHEP 02 (2021) 006 [ 2006.15154]

    2021 arXiv

  49. [57]

    Lanza, F

    S. Lanza, F. Marchesano, L. Martucci and I. Valenzuela, The EFT stringy viewpoint on large distances, JHEP 09 (2021) 197 [ 2104.05726]

    2021 arXiv

  50. [58]

    Marchesano and L

    F. Marchesano and L. Melotti, EFT strings and emergence , JHEP 02 (2023) 112 [2211.01409]

    2023 arXiv

  51. [59]

    T. W. Grimm, S. Lanza and C. Li, Tameness, Strings, and the Distance Conjecture , JHEP 09 (2022) 149 [ 2206.00697]

    2022 arXiv

  52. [60]

    Martucci, N

    L. Martucci, N. Risso, A. Valenti and L. Vecchi, Wormholes in the axiverse, and the species scale, JHEP 07 (2024) 240 [ 2404.14489]

    2024 arXiv

  53. [61]

    Marchesano and M

    F. Marchesano and M. Wiesner, 4d strings at strong coupling , JHEP 08 (2022) 004 [2202.10466]

    2022 arXiv

  54. [62]

    Wiesner, Light strings and strong coupling in F-theory , JHEP 04 (2023) 088 [2210.14238]

    M. Wiesner, Light strings and strong coupling in F-theory , JHEP 04 (2023) 088 [2210.14238]

    2023 arXiv

  55. [63]

    Marchesano, L

    F. Marchesano, L. Melotti and L. Paoloni, On the moduli space curvature at infinity , JHEP 02 (2024) 103 [ 2311.07979]

    2024 arXiv

  56. [64]

    Marchesano, L

    F. Marchesano, L. Melotti and M. Wiesner, Asymptotic curvature divergences and non-gravitational theories, 2409.02991

    arXiv

  57. [65]

    Castellano, F

    A. Castellano, F. Marchesano, L. Melotti and L. Paoloni, The Moduli Space Curvature and the Weak Gravity Conjecture , 2410.10966

    arXiv

  58. [66]

    H.-C. Kim, G. Shiu and C. Vafa, Branes and the Swampland , Phys. Rev. D 100 (2019) 066006 [1905.08261]

    2019 arXiv

  59. [67]

    Lee and T

    S.-J. Lee and T. Weigand, Swampland Bounds on the Abelian Gauge Sector , Phys. Rev. D 100 (2019) 026015 [ 1905.13213]. – 44 –

    2019 arXiv

  60. [68]

    Kim, H.-C

    H.-C. Kim, H.-C. Tarazi and C. Vafa, Four-dimensional N = 4 SYM theory and the swampland, Phys. Rev. D 102 (2020) 026003 [ 1912.06144]

    2020 arXiv

  61. [69]

    Tarazi and C

    H.-C. Tarazi and C. Vafa, On The Finiteness of 6d Supergravity Landscape , 2106.10839

    arXiv

  62. [70]

    Martucci, N

    L. Martucci, N. Risso and T. Weigand, Quantum gravity bounds on N = 1 effective theories in four dimensions , JHEP 03 (2023) 197 [ 2210.10797]

    2023 arXiv

  63. [71]

    Lee and P.-K

    S.-J. Lee and P.-K. Oehlmann, Geometric bounds on the 1-form gauge sector , Phys. Rev. D 108 (2023) 086021 [ 2212.11915]

    2023 arXiv

  64. [72]

    Kim and C

    H.-C. Kim and C. Vafa, Exploring new constraints on Kahler moduli space of 6d N = 1 Supergravity, 2406.06704

    arXiv

  65. [73]

    H.-C. Kim, C. Vafa and K. Xu, Finite Landscape of 6d N=(1,0) Supergravity , 2411.19155

  66. [74]

    Bergshoeff, S

    E. Bergshoeff, S. Cucu, T. de Wit, J. Gheerardyn, S. Vandoren and A. Van Proeyen, N = 2 supergravity in five-dimensions revisited , Class. Quant. Grav. 21 (2004) 3015 [hep-th/0403045]

    2004 arXiv

  67. [75]

    Lauria and A

    E. Lauria and A. Van Proeyen, N = 2 Supergravity in D = 4, 5, 6 Dimensions, vol. 966. Springer, 3, 2020, 10.1007/978-3-030-33757-5, [ 2004.11433]

    2020 arXiv

  68. [76]

    Ferrara, R

    S. Ferrara, R. R. Khuri and R. Minasian, M theory on a Calabi-Yau manifold , Phys. Lett. B 375 (1996) 81 [ hep-th/9602102]

    1996 arXiv

  69. [77]

    Mizoguchi and N

    S. Mizoguchi and N. Ohta, More on the similarity between D = 5 simple supergravity and M theory, Phys. Lett. B 441 (1998) 123 [ hep-th/9807111]

    1998 arXiv

  70. [78]

    Boyarsky, J

    A. Boyarsky, J. A. Harvey and O. Ruchayskiy, A Toy model of the M5-brane: Anomalies of monopole strings in five dimensions , Annals Phys. 301 (2002) 1 [ hep-th/0203154]

    2002 arXiv

  71. [79]

    Polchinski, Monopoles, duality, and string theory , Int

    J. Polchinski, Monopoles, duality, and string theory , Int. J. Mod. Phys. A19S1 (2004) 145 [hep-th/0304042]

    2004 arXiv

  72. [80]

    Banks and N

    T. Banks and N. Seiberg, Symmetries and Strings in Field Theory and Gravity , Phys. Rev. D83 (2011) 084019 [ 1011.5120]

    2011 arXiv

  73. [81]

    Montero and H

    M. Montero and H. Parra de Freitas, New supersymmetric string theories from discrete theta angles , JHEP 01 (2023) 091 [ 2209.03361]

    2023 arXiv

  74. [82]

    Heidenreich, M

    B. Heidenreich, M. Reece and T. Rudelius, The Weak Gravity Conjecture and axion strings, JHEP 11 (2021) 004 [ 2108.11383]

    2021 arXiv

  75. [83]

    C. F. Cota, A. Mininno, T. Weigand and M. Wiesner, The asymptotic Weak Gravity Conjecture for open strings , JHEP 11 (2022) 058 [ 2208.00009]

    2022 arXiv

  76. [84]

    C. F. Cota, A. Mininno, T. Weigand and M. Wiesner, The asymptotic weak gravity conjecture in M-theory, JHEP 08 (2023) 057 [ 2212.09758]

    2023 arXiv

  77. [85]

    Rudelius, Revisiting the refined Distance Conjecture , JHEP 09 (2023) 130 [2303.12103]

    T. Rudelius, Revisiting the refined Distance Conjecture , JHEP 09 (2023) 130 [2303.12103]. – 45 –

    2023 arXiv

  78. [86]

    Antoniadis, S

    I. Antoniadis, S. Ferrara, R. Minasian and K. S. Narain, R**4 couplings in M and type II theories on Calabi-Yau spaces, Nucl. Phys. B 507 (1997) 571 [ hep-th/9707013]

    1997 arXiv

  79. [87]

    T. W. Grimm, K. Mayer and M. Weissenbacher, Higher derivatives in Type II and M-theory on Calabi-Yau threefolds, JHEP 02 (2018) 127 [ 1702.08404]. – 46 –

    2018 arXiv

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