Pith. sign in

REVIEW 3 major objections 4 minor 1 cited by

Scale separation on AdS$_3\times S^3$ with and without supersymmetry

T0 review · 3 major / 4 minor · reviewed 2026-08-16 · deepseek-v4-flash

Challenge this review Re-run · record.json Download PDF Read on arXiv ↗ Review JSON

Pith's one-line read The complete Kaluza-Klein spectrum of six-dimensional Salam-Sezgin supergravity on AdS3 times a squashed three-sphere is computed; in the large-squashing limit, all but a small set of low-energy fields acquire infinite mass.

desk verdict Complete KK spectrum for a two-parameter family of AdS3 vacua with a plausible parametric scale-separation claim; the bosonic side is solid, the fermionic side needs a closer look before the full supersymmetric conclusion is taken as established. read the letter →

arxiv 2504.12425 v2 pith:3YMVVQTR submitted 2025-04-16 hep-th

Aymeric Proust , Henning Samtleben , Ergin Sezgin This is my paper · ORCID
classification hep-th
keywords supersymmetricbackgroundscaseconformaldimensionsfiveintegerlimit
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

Supergravity is a quantum theory of gravity with extra symmetries. When extra dimensions are curled up, every particle in the higher-dimensional theory gives rise to a tower of heavier particles, the Kaluza-Klein tower. Scale separation means that these heavier particles are so much heavier than the light particles that the low-energy world looks purely lower-dimensional. Usually, in supersymmetric models, the towers are not separated and the higher-dimensional physics cannot be ignored.

This paper studies the Salam-Sezgin model, a six-dimensional supergravity with a gauged R-symmetry, compactified on a three-sphere that can be squashed. The background is AdS3 times a squashed S3, labelled by two parameters alpha and beta. The authors compute the full Kaluza-Klein spectrum, meaning all masses of all spin-2, spin-3/2, spin-1, spin-1/2 and spin-0 fluctuations around this background, using exceptional field theory, a reformulation that organizes the Kaluza-Klein computation.

They find that in the limit alpha to infinity, the masses of almost all modes diverge, while a small set of fields, five scalars and five massive vectors, keep finite masses with integer conformal dimensions. When alpha equals beta, supersymmetry is partially preserved and the surviving fermionic superpartners have half-integer conformal dimensions. The supersymmetric spectrum is organized into infinite towers of long and short supermultiplets of the supergroup OSp(2|2), which is a strong consistency check of the calculation.

Extended reading notes

Core claim

The central assertion is that 'in a certain limit of parameters, in particular entailing alpha to infinity, both the supersymmetric and the non-supersymmetric spectra exhibit scale separation, with only ten fields retaining finite masses while all other masses diverge' (abstract and Section 6.3), and that this is 'the first example of a scale separation phenomenon in AdS compactifications, in the absence of orientifolds' (Section 1). If true, the Kaluza-Klein towers decouple and the low-energy theory reduces to a 3D theory with five scalars and five topologically massive vectors, plus superpartners in the supersymmetric case.

Load-bearing premise

The fermionic mass eigenvalues rest on the N=4 Yukawa couplings in equation (5.7) and the operator identity in equation (5.30). The paper states that these were 'determined from the representation content' together with Ward identities, but it does not show a derivation or uniqueness proof. If any relative coefficient or normalization in (5.8) is wrong, the fermionic spectrum, the claimed OSp(2|2) multiplet structure, and the supersymmetric half-integer conformal dimensions at alpha equal beta would change. This is load-bearing for the supersymmetric part of the scale separation claim.

Share X Bluesky LinkedIn Reddit HN

Signed reviews

No signed human review yet.

Editorial analysis

A structured set of objections, weighed in public.

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

Referee Report

3 major / 4 minor

Summary. The paper computes the full Kaluza-Klein spectrum of six-dimensional chiral gauged Einstein-Maxwell supergravity (the Salam-Sezgin model) around a two-parameter family of AdS3 times squashed S3 backgrounds, parametrized by (α, β) and with p additional abelian vector multiplets. The computations are performed using the consistent truncation to three-dimensional N = 4 gauged supergravity and the exceptional-field-theory mass formulas. The paper's central claims are that (i) on the supersymmetric line α = β the spectrum organizes into infinite towers of long and short OSp(2|2) supermultiplets, and (ii) in the limit α → ∞ with β fixed, both the supersymmetric and non-supersymmetric spectra exhibit scale separation: only a finite set of low-lying fields retain finite masses, while all higher Kaluza-Klein masses diverge. The authors further claim that this is the first example of scale separation in AdS compactifications without orientifolds, and that all scalar modes are perturbatively stable for the entire family.

Significance. If the results hold, this is a substantial technical contribution. The paper provides explicit bosonic mass formulas for a non-maximally symmetric AdS3 × squashed-S3 compactification, exhibits the OSp(2|2) multiplet structure, and gives a concrete parametric scale-separation example with an explicit spectrum. The bosonic sector is well anchored by consistency checks: the spin-2 masses reduce to the known g = 0 result (5.22), the spin-1 and spin-0 formulas (5.39) and (5.44) reproduce the N = (4, 0) spectrum at α = β = 0, and the supersymmetric identity (5.33) is a nontrivial internal consistency condition. The short-multiplet shortening condition (6.4) and the resulting multiplet decomposition in (6.12)–(6.15) are also strong structural tests. The main weakness is that the fermionic mass matrices and the spin-3/2 operator identity are asserted rather than derived, so the supersymmetric branch of the central claim is not yet fully supported. The paper is also clear about the model's status: it is not known to have a string/M-theory embedding, so the relevance to swampland questions is indirect.

major comments (3)
  1. [Section 5.1, Eqs. (5.7)–(5.9)] The fermionic Yukawa couplings A1, A2, A3 in (5.7), with the normalizations (5.8), are stated to have been 'determined from the representation content' together with the Ward identities (5.9), but no derivation or uniqueness proof is given. These couplings determine the fermion masses in Table 1 and enter the fermionic Kaluza-Klein towers through (5.29) and (5.40). The supersymmetric branch of the headline claim — the finite half-integer-dimensional superpartners at α = β and the OSp(2|2) pairing — therefore rests on asserted input. The two Ward identities (5.9) are not manifestly sufficient to fix all relative coefficients in (5.7); I ask the authors to supply the derivation, a uniqueness argument, or an independent check such as a direct expansion of the six-dimensional fermionic action on the background.
  2. [Section 5.2.2, Eqs. (5.29)–(5.33)] The spin-3/2 mass operator (5.29) contains a second term whose relative coefficient is said to be determined by group theory 'up to its relative coefficient', and the operator identity (5.30) is asserted to follow from (5.29) without the computation being shown. Equation (5.30) is the source of relation (5.33), which the authors use as the crucial input for the OSp(2|2) multiplet pairing. Any error in the relative coefficient would change the fermionic conformal dimensions and break the claimed multiplet and scale-separation pattern. The derivation should be exhibited, or the group-theoretic fixing condition stated precisely, so that the identity can be checked.
  3. [Sections 5.2.3 and 5.2.5, Eqs. (5.39) and (5.44)] For the spin-1 and spin-0 towers, the paper states that after 'evaluating the mass operator' the spectrum takes exactly the g = 0 form with ΓB(n,u) replaced by (5.25), but no diagonalization, no explicit eigenvalues for the individual U(2) representations, and no intermediate steps are shown. These formulas are load-bearing for the non-supersymmetric scale-separation claim, since they are what establish that all higher KK spin-1 and spin-0 masses diverge as α → ∞. I would like to see the relevant computation, at least in an appendix or as a supplementary file.
minor comments (4)
  1. [Table 1] Several rows of Table 1 are difficult to read because of the formatting of square roots and parentheses; for example, the scalar row with mℓ = 2 cosh α sinh β appears to be missing the square root and the correct argument in the conformal-dimension column. Please reformat the table carefully.
  2. [Section 5.2.2, Eq. (5.30)] The operators U and Q are used in (5.30) before their eigenvalue conventions are specified; please state explicitly that U has integer eigenvalues u ∈ Pn and Q has eigenvalues q = ±1, and that these generators commute in the relevant sense.
  3. [Section 1 and Section 7] The claim that this is the 'first example of a scale separation phenomenon in AdS compactifications, in the absence of orientifolds' is stated in the introduction before the caveats in the conclusions that the model is not known to descend from string/M-theory; please phrase the claim so that this status is explicit.
  4. [Section 6.2, Eqs. (6.13)–(6.15)] The notation [n±2]/2 in (6.14) and neighboring equations should be written as [(n±2)/2] to avoid ambiguity with [n/2].

Circularity Check

0 steps flagged · score 0.0 of 10

No circularity: the scale-separation limit is a direct consequence of the computed KK mass formulas, and the known N=(4,0) spectrum is used only as a consistency benchmark.

full rationale

The central scale-separation claim is not equivalent by construction to any fitted input or to a self-citation. The bosonic KK masses are given explicitly by m^2 l^2 = cosh^2 alpha [n(n+2)+u^2 sinh^2 beta] (5.23) and the general conformal dimensions by Gamma_B(n,u) in (5.25); the fermionic ones by Gamma_F(n,u,q) in (5.32). In the alpha->infinity limit, these functions grow like cosh alpha for all states with n,u != 0, while the n=0,u=0 KK-level-0 states keep finite masses. This is a mathematical consequence of the formulas, not an input. The known N=(4,0) spectrum from [24] is used only to assign quantum numbers, to select the correct conformal-dimension branch at alpha=beta=0, and as a consistency check via (5.27) and (5.35); no parameter is fitted to the scale-separation result. The replacement (6.6) is bookkeeping after the masses were computed, not a derivation from the known spectrum. The ExFT mass matrices (5.1), (5.21), (5.29), (5.36), (5.40) are borrowed from prior work, including papers by the present authors, but they are general machinery independent of the target result and not a restatement of scale separation. The paper itself flags an omitted derivation in the fermionic sector: the Yukawa couplings (5.7) are said to be 'determined from the representation content' together with the Ward identities (5.9), and the spin-3/2 KK term in (5.29) is said to be fixed 'up to its relative coefficient', with the fixing condition not exhibited. This is a verification gap and a potential correctness risk, especially for the supersymmetric half-integer conformal dimensions, but it is not circular: the fermionic masses are not defined in terms of the scale-separated spectrum, and no fitted parameter is hidden in the limit. No circular step can be exhibited from the text, so the honest finding is no significant circularity.

Assumptions & free parameters 3 free parameters · 5 assumptions · 0 invented entities

The central computation rests on the ExFT machinery and on the explicit N=4 fermionic couplings, neither of which is fully derived in this paper. The background parameters alpha and beta, and the number p of extra vector multiplets, are inputs, not fit parameters. No new particles or forces are introduced.

free parameters (3)
  • alpha
    Continuous parameter controlling the six-dimensional gauge coupling g via g/g' = tanh alpha / sqrt(2); the scale separation result is stated in the limit alpha to infinity. It is not fitted, it labels the vacuum family.
  • beta
    Squashing parameter of the three-sphere (xi = cosh^2 beta); together with alpha it identifies the solution. The scale separation ratio in (6.19) involves sinh beta, but the alpha to infinity limit alone suffices.
  • p
    Number of additional abelian vector multiplets coupled to the 6D supergravity; an input integer, not fitted. The finite-mass count is 5+p scalars and 5+p massive vectors.
assumptions (5)
  • domain assumption The ExFT mass formulas (5.1), (5.29), (5.36), (5.40) are valid for this model and capture the full KK spectrum.
    Imported from [22,23,24,28,29]; not rederived in this paper. Every quoted eigenvalue depends on these.
  • domain assumption The consistent truncation on S3, including the R-symmetry gauging term, is complete, and the uplift formulas of [27] remain valid for g not equal to 0.
    Section 3 states this; it is what allows the 3D mass computation to represent the full six-dimensional spectrum.
  • domain assumption The background (2.3)-(2.5) is an exact solution of the 6D equations of motion.
    Taken from [18,19]; the paper checks the parameter dictionary but does not re-derive the equations of motion.
  • domain assumption The N=4 Yukawa couplings (5.7) with normalizations (5.8) are the correct couplings for this model.
    The paper determines these from representation content and Ward identities, but does not display a full derivation; this is the weakest point for the fermionic spectrum.
  • standard math The scalar harmonics on the round S3 (5.13) form a complete basis for KK fluctuations.
    Standard spectral decomposition on spheres; used in (5.20)-(5.44).

how reviews work

0 comments
Cite this review

Pith. "Pith review of Scale separation on AdS$_3\times S^3$ with and without supersymmetry." pith.science (2026). https://pith.science/paper/3YMVVQTR

@misc{pith2026250412425,
  author       = {Pith},
  title        = {Pith review of: Scale separation on AdS$_3\times S^3$ with and without supersymmetry},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/3YMVVQTR}},
  note         = {Machine review of arXiv:2504.12425}
}
abstract

Six-dimensional chiral gauged Einstein-Maxwell supergravity admits a two-parameter rotating dyonic string solution whose near horizon limit is the direct product of AdS$_3$ and a squashed three-sphere $S^3$. For a particular relation between the two parameters, the solution preserves $1/2$ supersymmetry. We determine the complete Kaluza-Klein spectrum of the theory around these AdS$_3$ backgrounds. For the supersymmetric backgrounds, the states organize into infinite towers of long and short multiplets of OSp(2|2). In a certain limit of parameters, both the supersymmetric and the non-supersymmetric spectra exhibit scale separation. In the latter case there are five topologically massive vectors and five scalars retaining finite masses with integer conformal dimensions, and in the supersymmetric case there are supersymmetric partners with half integer conformal dimensions, while all other masses diverge.

Figures

Figures reproduced from arXiv: 2504.12425 by the authors.

Figure 1
Figure 1. States of the N = (4, 0) spin-2 multiplet (n + 3) (0,n/2) n/2 decomposed into N = (2, 0) multiplets. On the vertical axis, we trace the helicity from −1 to −2, while the horizontal axis indicates the U(1) charge u, ranging from −n − 2 to n + 2. The long multiplets are depicted as diamonds while the green lines at the utmost left and right represent short multiplets. representing bosonic states, and red and blue dots… view at source ↗

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Universal Cosmologies

    hep-th 2025-05 conditional novelty 5.0 of 10

    For open FLRW universes in two-scalar exponential-potential models from 10d IIA supergravity, the late-time attractor sets the effective exponent to the shortest vector to the convex hull of potential exponents, givin...

Reference graph

Works this paper leans on

49 extracted references · 13 canonical work pages · cited by 1 Pith paper

  1. [1]

    Supersymmetric AdS vacua and separation of scales,

    D. Tsimpis, “Supersymmetric AdS vacua and separation of scales,” JHEP 08 (2012) 142, arXiv:1206.5900 [hep-th]

    arXiv 2012

  2. [2]

    Remarks on scale separation in flux vacua,

    F. F. Gautason, M. Schillo, T. Van Riet, and M. Williams, “Remarks on scale separation in flux vacua,” JHEP 03 (2016) 061, arXiv:1512.00457 [hep-th]

    arXiv 2016

  3. [3]

    On scale separation in type II AdS flux vacua,

    A. Font, A. Herr´ aez, and L. E. Ib´ a˜ nez, “On scale separation in type II AdS flux vacua,” JHEP 03 (2020) 013, arXiv:1912.03317 [hep-th]

    arXiv 2020

  4. [4]

    AdS2 type-IIA solutions and scale separation,

    D. L¨ ust and D. Tsimpis, “AdS2 type-IIA solutions and scale separation,” JHEP 07 (2020) 060, arXiv:2004.07582 [hep-th]

    arXiv 2020

  5. [5]

    Hiding the extra dimensions: A review on scale separation in string theory,

    T. Coudarchet, “Hiding the extra dimensions: A review on scale separation in string theory,” Phys. Rept. 1064 (2024) 1–28, arXiv:2311.12105 [hep-th]

    arXiv 2024

  6. [6]

    No-scale and scale-separated flux vacua from IIA on G2 orientifolds,

    F. Farakos, G. Tringas, and T. Van Riet, “No-scale and scale-separated flux vacua from IIA on G2 orientifolds,” Eur. Phys. J. C 80 no. 7, (2020) 659, arXiv:2005.05246 [hep-th]

    arXiv 2020

  7. [7]

    Comments on classical AdS flux vacua with scale separation,

    F. Apers, M. Montero, T. Van Riet, and T. Wrase, “Comments on classical AdS flux vacua with scale separation,” JHEP 05 (2022) 167, arXiv:2202.00682 [hep-th]

    arXiv 2022

  8. [8]

    Scale-separated AdS 3×S1 vacua from IIA orientifolds,

    F. Farakos and M. Morittu, “Scale-separated AdS 3×S1 vacua from IIA orientifolds,” Eur. Phys. J. C 84 no. 1, (2024) 98, arXiv:2311.08991 [hep-th]

    arXiv 2024

Show all 49 references
  1. [9]

    Type II orientifold flux vacua in 3D,

    ´A. Arboleya, A. Guarino, and M. Morittu, “Type II orientifold flux vacua in 3D,” JHEP 12 (2024) 087, arXiv:2408.01403 [hep-th]

    2024

  2. [10]

    Supersymmetric scale-separated AdS 3 vacua of type IIB,

    V. Van Hemelryck, “Supersymmetric scale-separated AdS 3 vacua of type IIB,” arXiv:2502.04791 [hep-th]

  3. [11]

    Integer dual dimensions in scale-separated AdS 3 from massive IIA,

    F. Farakos and G. Tringas, “Integer dual dimensions in scale-separated AdS 3 from massive IIA,” arXiv:2502.08215 [hep-th]

    arXiv

  4. [12]

    AdS and the swampland,

    D. L¨ ust, E. Palti, and C. Vafa, “AdS and the swampland,” Phys. Lett. B 797 (2019) 134867, arXiv:1906.05225 [hep-th]

    2019 arXiv

  5. [13]

    Chiral compactification on Minkowski ×S2 of N = 2 Einstein-Maxwell supergravity in six-dimensions,

    A. Salam and E. Sezgin, “Chiral compactification on Minkowski ×S2 of N = 2 Einstein-Maxwell supergravity in six-dimensions,” Phys. Lett. B 147 (1984) 47

    1984

  6. [14]

    An anomaly free model in six dimensions,

    S. Randjbar-Daemi, A. Salam, E. Sezgin, and J. A. Strathdee, “An anomaly free model in six dimensions,” Phys. Lett. B 151 (1985) 351–356

    1985

  7. [15]

    A new anomaly-free gauged supergravity in six dimensions,

    S. D. Avramis, A. Kehagias, and S. Randjbar-Daemi, “A new anomaly-free gauged supergravity in six dimensions,” JHEP 05 (2005) 057, arXiv:hep-th/0504033

    2005 arXiv

  8. [16]

    A systematic search for anomaly-free supergravities in six dimensions,

    S. D. Avramis and A. Kehagias, “A systematic search for anomaly-free supergravities in six dimensions,” JHEP 10 (2005) 052, arXiv:hep-th/0508172. 33

    2005 arXiv

  9. [17]

    New anomaly free supergravities in six dimensions,

    K. Becker, A. Kehagias, E. Sezgin, D. Tennyson, and A. Violaris, “New anomaly free supergravities in six dimensions,” JHEP 05 (2024) 144, arXiv:2311.03337 [hep-th]

    2024 arXiv

  10. [18]

    Boosted rotating dyonic strings in Salam-Sezgin model,

    L. Ma, Y. Pang, and H. Lu, “Boosted rotating dyonic strings in Salam-Sezgin model,” JHEP 04 (2024) 052, arXiv:2401.00042 [hep-th]

    2024 arXiv

  11. [19]

    Fine tuning and six-dimensional gauged N = (1, 0) supergravity vacua,

    R. Gueven, J. T. Liu, C. N. Pope, and E. Sezgin, “Fine tuning and six-dimensional gauged N = (1, 0) supergravity vacua,” Class. Quant. Grav. 21 (2004) 1001–1014, arXiv:hep-th/0306201

    2004 arXiv

  12. [20]

    Exploring the holographic Swampland,

    J.P. Conlon, S. Ning, and F. Revello, “Exploring the holographic Swampland,” JHEP 04 (2022) 117, arXiv:2110.06245 [hep-th]

    2022 arXiv

  13. [21]

    Integer conformal dimensions for type IIA flux vacua,

    F. Apers, J.P. Conlon, S. Ning, and F. Revello, “Integer conformal dimensions for type IIA flux vacua,” Phys. Rev. D 105 (2022) 106029, arXiv:2202.09330 [hep-th]

    2022 arXiv

  14. [22]

    Kaluza-Klein spectrometry for supergravity,

    E. Malek and H. Samtleben, “Kaluza-Klein spectrometry for supergravity,” Phys. Rev. Lett. 124 (2020) 101601, arXiv:1911.12640 [hep-th]

    2020 arXiv

  15. [23]

    Kaluza-Klein spectrometry from exceptional field theory,

    E. Malek and H. Samtleben, “Kaluza-Klein spectrometry from exceptional field theory,” Phys. Rev. D 102 (2020) 106016, arXiv:2009.03347 [hep-th]

    2020 arXiv

  16. [24]

    Kaluza-Klein spectrometry for AdS 3 vacua,

    C. Eloy, “Kaluza-Klein spectrometry for AdS 3 vacua,” SciPost Phys. 10 no. 6, (2021) 131, arXiv:2011.11658 [hep-th]

    2021 arXiv

  17. [25]

    O( d + 1,d + 1) enhanced double field theory,

    O. Hohm, E. T. Musaev, and H. Samtleben, “O( d + 1,d + 1) enhanced double field theory,” JHEP 10 (2017) 086, arXiv:1707.06693 [hep-th]

    2017 arXiv

  18. [26]

    Consistent Kaluza-Klein sphere reductions,

    M. Cvetic, H. Lu, and C. N. Pope, “Consistent Kaluza-Klein sphere reductions,” Phys. Rev. D62 (2000) 064028, arXiv:hep-th/0003286 [hep-th]

    2000 arXiv

  19. [27]

    Triality and the consistent reductions on AdS3×S3,

    C. Eloy, G. Larios, and H. Samtleben, “Triality and the consistent reductions on AdS3×S3,” JHEP 01 (2022) 055, arXiv:2111.01167 [hep-th]

    2022 arXiv

  20. [28]

    Cubic and higher-order supergravity couplings for AdS vacua using Exceptional Field Theory,

    B. Duboeuf, E. Malek, and H. Samtleben, “Cubic and higher-order supergravity couplings for AdS vacua using Exceptional Field Theory,” JHEP 05 (2024) 214, arXiv:2311.00742 [hep-th]

    2024 arXiv

  21. [29]

    Kaluza-Klein fermion mass matrices from exceptional field theory andN = 1 spectra,

    M. Ces` aro and O. Varela, “Kaluza-Klein fermion mass matrices from exceptional field theory andN = 1 spectra,” JHEP 03 (2021) 138, arXiv:2012.05249 [hep-th]

    2021 arXiv

  22. [30]

    Twin supergravities,

    D. Roest and H. Samtleben, “Twin supergravities,” Class. Quant. Grav. 26 (2009) 155001, arXiv:0904.1344 [hep-th]

    2009 arXiv

  23. [31]

    A supersymmetric reduction on the three-sphere,

    N. S. Deger, H. Samtleben, O. Sarioglu, and D. Van den Bleeken, “A supersymmetric reduction on the three-sphere,” Nucl. Phys. B890 (2015) 350–362, arXiv:1410.7168 [hep-th]

    2015 arXiv

  24. [32]

    Consistent Pauli reduction on group manifolds,

    A. Baguet, C. N. Pope, and H. Samtleben, “Consistent Pauli reduction on group manifolds,” Phys. Lett. B752 (2016) 278–284, arXiv:1510.08926 [hep-th] . 34

    2016 arXiv

  25. [33]

    Gauged locally supersymmetric D = 3 nonlinear sigma models,

    B. de Wit, I. Herger, and H. Samtleben, “Gauged locally supersymmetric D = 3 nonlinear sigma models,” Nucl. Phys. B671 (2003) 175–216, arXiv:hep-th/0307006 [hep-th]

    2003 arXiv

  26. [34]

    Six-dimensional supergravity on S3×AdS3 and 2d conformal field theory,

    J. de Boer, “Six-dimensional supergravity on S3×AdS3 and 2d conformal field theory,” Nucl. Phys. B548 (1999) 139–166, arXiv:hep-th/9806104 [hep-th]

    1999 arXiv

  27. [35]

    Spectrum of D = 6,N = 4b supergravity on AdS3×S3,

    S. Deger, A. Kaya, E. Sezgin, and P. Sundell, “Spectrum of D = 6,N = 4b supergravity on AdS3×S3,” Nucl.Phys. B536 (1998) 110–140, arXiv:hep-th/9804166 [hep-th]

    1998 arXiv

  28. [36]

    Consistent S3 reductions of six-dimensional supergravity,

    H. Samtleben and O. Sarıoglu, “Consistent S3 reductions of six-dimensional supergravity,” Phys. Rev. D 100 (2019) 086002, arXiv:1907.08413 [hep-th]

    2019 arXiv

  29. [37]

    Coherent state construction of representations of osp(2|2) and primary fields of osp(2|2) conformal field theory,

    Y.-Z. Zhang, “Coherent state construction of representations of osp(2|2) and primary fields of osp(2|2) conformal field theory,” Phys. Lett. A 327 (2004) 442–451, arXiv:hep-th/0312024

    2004 arXiv

  30. [38]

    Unitary lowest weight representations of the noncompact supergroup OSp(2m∗|2n),

    M. G¨ unaydin and R. J. Scalise, “Unitary lowest weight representations of the noncompact supergroup OSp(2m∗|2n),” J. Math. Phys. 32 (1991) 599–606

    1991

  31. [39]

    On the classification of irreducible osp2,2 representations,

    D. Lu, “On the classification of irreducible osp2,2 representations,” Kyushu Journal of Mathematics 66 (2012) 125–141

    2012

  32. [40]

    SUSY breaking and moduli stabilization from fluxes in gauged 6D supergravity,

    Y. Aghababaie, C. P. Burgess, S. L. Parameswaran and F. Quevedo, “SUSY breaking and moduli stabilization from fluxes in gauged 6D supergravity,” JHEP 03 (2003) 032, arXiv:hep-th/0212091 [hep-th]

    2003 arXiv

  33. [41]

    N = (4, 2) chiral supergravity in six-dimensions and solvable Lie algebras,

    R. D’Auria, S. Ferrara, and C. Kounnas, “ N = (4, 2) chiral supergravity in six-dimensions and solvable Lie algebras,” Phys. Lett. B 420 (1998) 289–299, arXiv:hep-th/9711048

    1998 arXiv

  34. [42]

    Supergravity description of field theories on curved manifolds and a no go theorem,

    J. M. Maldacena and C. Nunez, “Supergravity description of field theories on curved manifolds and a no go theorem,” Int. J. Mod. Phys. A 16 (2001) 822–855, arXiv:hep-th/0007018

    2001 arXiv

  35. [43]

    A string and M theory origin for the Salam-Sezgin model,

    M. Cvetic, G. W. Gibbons, and C. N. Pope, “A string and M theory origin for the Salam-Sezgin model,” Nucl. Phys. B 677 (2004) 164–180, arXiv:hep-th/0308026

    2004 arXiv

  36. [44]

    Aspects of supergravity theories,

    G. W. Gibbons, “Aspects of supergravity theories,” in Supersymmetry, supergravity, and related topics : proceedings of the XVth GIFT International Seminar on Theoretical Physics, F. del Aguila, J. de Azcarraga, and L. Ibanez, eds. World Scientific, 1984

    1984

  37. [45]

    D = 7/D = 6 heterotic supergravity with gauged R-symmetry,

    T. G. Pugh, E. Sezgin, and K. S. Stelle, “ D = 7/D = 6 heterotic supergravity with gauged R-symmetry,” JHEP 02 (2011) 115, arXiv:1008.0726 [hep-th] . 35

    2011 arXiv

  38. [46]

    Six-dimensional (1,0) effective action of F-theory via M-theory on Calabi-Yau threefolds,

    F. Bonetti and T. W. Grimm, “Six-dimensional (1,0) effective action of F-theory via M-theory on Calabi-Yau threefolds,” JHEP 05 (2012) 019, arXiv:1112.1082 [hep-th]

    2012 arXiv

  39. [47]

    Gauged supergravities and their symmetry-breaking vacua in F-theory,

    T. W. Grimm and T. G. Pugh, “Gauged supergravities and their symmetry-breaking vacua in F-theory,” JHEP 06 (2013) 012, arXiv:1302.3223 [hep-th]

    2013 arXiv

  40. [48]

    4D de Sitter from string theory via 6D supergravity,

    C. P. Burgess, F. Muia, and F. Quevedo, “4D de Sitter from string theory via 6D supergravity,” arXiv:2408.03852 [hep-th]

    arXiv

  41. [49]

    GaugedN = 4 supergravities,

    J. Sch¨ on and M. Weidner, “GaugedN = 4 supergravities,” JHEP 05 (2006) 034, arXiv:hep-th/0602024 [hep-th] . 36

    2006 arXiv

Pith tools

Reviewed August 16, 2026 · model on record in the stance chip above.