Logarithmic Corrections to N=2 Black Hole Entropy: An Infrared Window into the Microstates

Abstract

Logarithmic corrections to the extremal black hole entropy can be computed purely in terms of the low energy data -- the spectrum of massless fields and their interaction. The demand of reproducing these corrections provides a strong constraint on any microscopic theory of quantum gravity that attempts to explain the black hole entropy. Using quantum entropy function formalism we compute logarithmic corrections to the entropy of half BPS black holes in N=2 supersymmetric string theories. Our results allow us to test various proposals for the measure in the OSV formula, and we find agreement with the measure proposed by Denef and Moore if we assume their result to be valid at weak topological string coupling. Our analysis also gives the logarithmic corrections to the entropy of extremal Reissner-Nordstrom black holes in ordinary Einstein-Maxwell theory.

LaTeX file, 66 pages

References in corpus (25)

• Entanglement entropy of black holes
• Quantum Entropy Function from AdS(2)/CFT(1) Correspondence
• CHL Dyons and Statistical Entropy Function from D1-D5 System
• Fermion Tunneling Beyond Semiclassical Approximation
• Logarithmic Corrections to N=4 and N=8 Black Hole Entropy: A One Loop Test of Quantum Gravity
• Quantum Tunneling and Trace Anomaly
• A Farey Tail for Attractor Black Holes
• Higher Derivative Corrections to Non-supersymmetric Extremal Black Holes in N=2 Supergravity
• Quantum black holes, localization and the topological string
• Entropy Function and AdS(2)/CFT(1) Correspondence
• Supersymmetric Index from Black Hole Entropy
• Arithmetic of Quantum Entropy Function
• Product Representation of Dyon Partition Function in CHL Models
• New supersymmetric higher-derivative couplings: Full N=2 superspace does not count!
• Dyon Spectrum in N=4 Supersymmetric Type II String Theories
• A fixed point formula for the index of multi-centered N=2 black holes
• Spectrum of Dyons and Black Holes in CHL orbifolds using Borcherds Lift
• From AdS3/CFT2 to Black Holes/Topological Strings
• Re-Recounting Dyons in N=4 String Theory
• Generalities of Quarter BPS Dyon Partition Function and Dyons of Torsion Two
• Quantum Equivalence of Massive Antisymmetric Tensor Field Models in Curved Space
• Entanglement entropy of round spheres
• Black Holes and Large Order Quantum Geometry
• Generalized mirror symmetry and trace anomalies
• The mixed black hole partition function for the STU model

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