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Stringy Evidence for a Universal Pattern at Infinite Distance

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arxiv 2311.01536 v1 pith:RA6GCQMF submitted 2023-11-02 hep-th

Alberto Castellano , Ignacio Ruiz , Irene Valenzuela This is my paper · ORCID
classification hep-th
keywords distanceinfinitetheoryfracpatternscaleconjectureevidence
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Infinite distance limits in the moduli space of a quantum gravity theory are characterized by having infinite towers of states becoming light, as dictated by the Distance Conjecture in the Swampland program. These towers imply a drastic breakdown in the perturbative regimes of the effective field theory at a quantum gravity cut-off scale known as the species scale. In this paper, we find a universal pattern satisfied in all known infinite distance limits of string theory compactifications, which relates the variation in field space of the mass of the tower and the species scale: $\frac{\vec\nabla m}{m} \cdot\frac{\vec\nabla \Lambda_{\rm sp}}{ \Lambda_{\rm sp}}=\frac{1}{d-2}$ in $d$ spacetime dimensions. This implies a more precise definition of the Distance conjecture and sharp bounds for the exponential decay rates. We provide plethora of evidence in string theory and identify some sufficient conditions that allow the pattern to hold from a bottom-up perspective.

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Cited by 11 Pith papers

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

  1. Integral Scaling for EFT Strings from the Bottom-Up

    hep-th 2026-07 conditional novelty 7.0 of 10

    Under brane-taxonomy axioms and an n_e≤7 homogeneity bound, integral scaling with w≤3 is an exhaustive finite consequence for all EFT string candidates in 4d N=1 moduli slices.

  2. EFT (String) Tower Building

    hep-th 2026-07 conditional novelty 7.0 of 10

    Assuming the Integral Scaling Relation and the Emergent String Conjecture, the Kähler potential fixes the UV tower spectrum, and every admissible degree-≤7 tower polytope is a slice of the M-theory G2 polytope.

  3. The Boundary of Symmetric Moduli Spaces and the Swampland Distance Conjecture

    hep-th 2025-08 unverdicted novelty 7.0 of 10

    For locally symmetric moduli spaces satisfying a compactifiability constraint, every infinite-distance limit produces an exponentially light tower of states, with decay rates forming the convex hull of the weights of ...

  4. EFT & Species Scale: Friends or foes?

    hep-th 2025-01 conditional novelty 7.0 of 10

    A detailed one-loop derivation shows that the species scale can be computed consistently with infinite convergent towers of states, resolving an apparent tension between infinite towers and effective field theory.

  5. Kaluza-Klein tower thresholds and scheme dependence of the species scale

    hep-th 2026-07 accept novelty 6.5 of 10

    Leading KK-tower local corrections to four-derivative gravity are regulator-dependent EFT matching data, while log N terms are universal within proper-time cutoffs, so species-scale definitions match only parametrically.

  6. Moduli-Space Laplacians, Asymptotic Geometry, and the Emergent String Conjecture

    hep-th 2026-07 conditional novelty 6.0 of 10

    Under the Emergent String Conjecture, the logarithm of any principal tower mass has a moduli-space Laplacian eigenvalue quantized to N/(D-d) for KK towers and N/2 for string oscillators, equal to the instanton-weighte...

  7. Background instability of quintessence model in light of entropy and distance conjecture

    hep-th 2026-01 conditional novelty 6.0 of 10

    An entropy comparison shows quintessence backgrounds with a finite event horizon are unstable, equating the trans-Planckian censorship bound with a species-entropy growth condition.

  8. Classical Black Hole Probes of UV Scales

    hep-th 2025-02 conditional novelty 6.0 of 10

    Minimal classical BPS black holes in string compactifications track the species or KK scale in infinite-distance limits, and violations may signal inconsistent EFTs.

  9. Relative Quantum Gravity: Localized Gravity and the Swampland

    hep-th 2025-01 conditional novelty 6.0 of 10

    Localized gravity theories can violate swampland constraints, but satisfy them when defined relative to a higher-dimensional gravity completion, dubbed relative quantum gravity.

  10. Moduli Space Quantum Mechanics

    hep-th 2026-03 conditional novelty 5.0 of 10

    Moduli-space geometry induces effective potentials that localize excited quantum wavefunctions in the bulk with positive energies, even for classically runaway potentials.

  11. Breaking Free from the Swampland of Impossible Universes through the DESI Portal

    astro-ph.CO 2026-05 unverdicted novelty 3.0 of 10

    DESI data indicating evolving dark energy may allow string theory to describe observed universes without violating swampland constraints on constant dark energy.

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