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Entropy Bounds and the Species Scale Distance Conjecture

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arxiv 2306.16450 v2 pith:QPRPF7L3 submitted 2023-06-28 hep-th gr-qchep-ph

José Calderón-Infante , Alberto Castellano , Alvaro Herráez , Luis E. Ibáñez This is my paper · ORCID
classification hep-thgr-qchep-ph
keywords distancescalespeciesconjectureboundsexponentialmodulissdc
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abstract

The Swampland Distance Conjecture (SDC) states that, as we move towards an infinite distance point in moduli space, a tower of states becomes exponentially light with the geodesic distance in any consistent theory of Quantum Gravity. Although this fact has been tested in large sets of examples, it is fair to say that a bottom-up justification that explains both the geodesic requirement and the exponential behavior has been missing so far. In the present paper we address this issue by making use of the Covariant Entropy Bound as applied to the EFT. When applied to backgrounds of the Dynamical Cobordism type in theories with a moduli space, we are able to recover these main features of the SDC. Moreover, this naturally leads to universal lower and upper bounds on the 'decay rate' parameter $\lambda_{\text{sp}}$ of the species scale, that we propose as a convex hull condition under the name of Species Scale Distance Conjecture (SSDC). This is in contrast to already proposed universal bounds, that apply to the SDC parameter of the lightest tower. We also extend the analysis to the case in which asymptotically exponential potentials are present, finding a nice interplay with the asymptotic de Sitter conjecture. To test the SSDC, we study the convex hull that encodes the (asymptotic) moduli dependence of the species scale. In this way, we show that the SSDC is the strongest bound on the species scale exponential rate which is preserved under dimensional reduction and we verify it in M-theory toroidal compactifications.

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Cited by 10 Pith papers

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  4. 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 ...

  5. Stochastic Survival near Swampland Boundaries

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    Surviving inflationary histories develop a universal inward drift near any hard swampland boundary — two times the diffusion over the distance to the edge — regardless of the cutoff's microscopic origin.

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

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

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