Black hole entropy and moduli-dependent species scale
Niccolò Cribiori, Dieter Lüst, Georgina Staudt
Abstract
We provide a moduli-dependent definition of species scale in quantum gravity based on black hole arguments. Concretely, it is derived from 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 ZBH=|Ztop|2 relating the black hole to the topological string partition functions should hold, at least within the regime of validity of our analysis.
Topics & Concepts
PhysicsModuliExtremal black holeBlack hole thermodynamicsString theoryBlack hole (networking)Theoretical physicsEntropy (arrow of time)Quantum gravityTopology (electrical circuits)Quantum mechanicsQuantumRouting (electronic design automation)Routing protocolComputer networkLink-state routing protocolMathematicsComputer scienceCombinatoricsBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories