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Black hole entropy and moduli-dependent species scale

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arxiv 2212.10286 v2 pith:TIQIIWAJ submitted 2022-12-20 hep-th

Black hole entropy and moduli-dependent species scale

classification hep-th
keywords blackholemoduli-dependentscalespeciesdefinitionentropymathcal
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We provide a moduli-dependent definition of species scale in quantum gravity based on black hole arguments. Concretely, it is derived from of a lower bound on the entropy of extremal black holes with higher curvature corrections, which ensures that the black hole can be reliably described within the effective theory. By demanding that our definition coincides with a recent proposal for a moduli-dependent species scale motivated from the topological string, we conclude that the conjecture $\mathcal{Z}_{BH} = |\mathcal{Z}_{\rm top}|^2$ relating the black hole to the topological string partition functions should hold, at least within the regime of validity of our analysis.

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Cited by 6 Pith papers

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