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Black hole entropy and moduli-dependent species scale
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abstract
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.
Forward citations
Cited by 10 Pith papers
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Integral Scaling for EFT Strings from the Bottom-Up
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.
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Tame Complexity of Effective Field Theories in the Quantum Gravity Landscape
Effective field theories consistent with quantum gravity are conjectured to have uniformly bounded 'tame complexity', a quantitative measure of the information needed to specify them.
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Black Hole Entropy, Quantum Corrections and EFT Transitions
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The Double EFT Expansion in Quantum Gravity
Quantum gravity EFT actions organize higher-curvature corrections into a field-theoretic expansion suppressed by the lightest new mass and a quantum-gravitational expansion suppressed by the species scale.
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Kaluza-Klein tower thresholds and scheme dependence of the species scale
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.
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IR Black Hole Instabilities Trigger Species-Scale Particle Production
A mechanism is proposed in which black hole instability at the tower scale converts a fraction of the mass into particles at the species scale, with Hawking evaporation subdominant.
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TransPlanckian Censorship on Dark Dimension Inflation
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Background instability of quintessence model in light of entropy and distance conjecture
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.
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Classical Black Hole Probes of UV Scales
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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A short overview on the Black Hole-Tower Correspondence and Species Thermodynamics
A review of the black hole-tower correspondence and species thermodynamics, which aim to explain black hole entropy via towers of light states and to show only certain towers are allowed.
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