Black Hole Microstate Counting and its Macroscopic Counterpart

Abstract

We survey recent results on the exact dyon spectrum in a class of N=4 supersymmetric string theories, and discuss how the results can be understood from the macroscopic viewpoint using AdS_2/CFT_1 correspondence. The comparison between the microscopic and the macroscopic results includes power suppressed corrections to the entropy, the sign of the index, logarithmic corrections and also the twisted index measuring the distribution of discrete quantum numbers among the microstates.

38 pages, LaTeX, based on lectures at various schools; v2: updated with recent results on sign of index, logarithmic corrections, localization etc

References in corpus (34)

• Near-horizon symmetries of extremal black holes
• Quantum Entropy Function from AdS(2)/CFT(1) Correspondence
• CHL Dyons and Statistical Entropy Function from D1-D5 System
• Near Extremal Black Hole Entropy as Entanglement Entropy via AdS2/CFT1
• Walls of Marginal Stability and Dyon Spectrum in N=4 Supersymmetric String Theories
• Higher Derivative Corrections to Non-supersymmetric Extremal Black Holes in N=2 Supergravity
• Comments on the Spectrum of CHL Dyons
• Arithmetic of Quantum Entropy Function
• Product Representation of Dyon Partition Function in CHL Models
• Extremal vacuum black holes in higher dimensions
• A Farey tale for N=4 dyons
• Dyon Spectrum in N=4 Supersymmetric Type II String Theories
• Spectrum of Dyons and Black Holes in CHL orbifolds using Borcherds Lift
• Dyon Spectrum in Generic N=4 Supersymmetric Z_N Orbifolds
• Two Centered Black Holes and N=4 Dyon Spectrum
• N=8 Dyon Partition Function and Walls of Marginal Stability
• Corrections to the statistical entropy of five dimensional black holes
• Asymptotic Expansion of the N=4 Dyon Degeneracy
• Generalities of Quarter BPS Dyon Partition Function and Dyons of Torsion Two
• Duality Orbits, Dyon Spectrum and Gauge Theory Limit of Heterotic String Theory on T^6
• Wall Crossing Formula for N=4 Dyons: A Macroscopic Derivation
• U-duality Invariant Dyon Spectrum in type II on T^6
• Rare Decay Modes of Quarter BPS Dyons
• S-duality Action on Discrete T-duality Invariants
• Adding Charges to N=4 Dyons
• On the dyon partition function in N=2 theories
• The mixed black hole partition function for the STU model
• Generalized Kac-Moody Algebras from CHL dyons
• Genus Two Surface and Quarter BPS Dyons: The Contour Prescription
• On walls of marginal stability in N=2 string theories
• Three String Junction and N=4 Dyon Spectrum
• Subleading Correction to Statistical Entropy for BMPV Black Hole
• Kinematical Analogy for Marginal Dyon Decay
• Constraints on "rare" dyon decays

Cited by in corpus (31)

• Logarithmic Corrections to Rotating Extremal Black Hole Entropy in Four and Five Dimensions
• Exponential corrections to black hole entropy
• State Operator Correspondence and Entanglement in AdS_2/CFT_1
• EVH Black Holes, AdS3 Throats and EVH/CFT Proposal
• A universal formula for the density of states in theories with finite-group symmetry
• Moonshine in Fivebrane Spacetimes
• Logarithmic correction to black hole entropy in universal low-energy string theory models
• Non-topological logarithmic corrections in minimal gauged supergravity
• Partition Functions in Even Dimensional AdS via Quasinormal Mode Methods
• The thermodynamic limit and black hole entropy in the area ensemble
• On Wald entropy of black holes: logarithmic corrections and trace anomaly
• Logarithmic corrections to black hole entropy in matter coupled $\mathcal{N}\ge 1$ Einstein-Maxwell supergravity
• Novel logarithmic corrections to black hole entropy
• The Schwarzian sector of higher spin CFTs
• Logarithmic correction to the entropy of extremal black holes in $\mathcal{N}=1$ Einstein-Maxwell supergravity
• Logarithmic corrections to the entropy of non-extremal black holes in $\mathcal{N}=1$ Einstein-Maxwell supergravity
• Quantum entropy of BMPV black holes and the topological M-theory conjecture
• On the microstructure of higher-dimensional Reissner-Nordström black holes in quantum regime
• Relativistic Correction to Black Hole Entropy
• Attractor Mechanism and Non-Renormalization Theorem in 6D (1,0) Supergravity
• A Generalised Garfinkle-Vachaspati Transform
• Statistical ensembles and logarithmic corrections to black hole entropy
• Positivity of discrete information for CHL black holes
• Black Hole Hair Removal For N=4 CHL Models
• Mock Modularity In CHL Models
• Generalised Garfinkle-Vachaspati Transform With Dilaton
• On Exponentially Suppressed Corrections to BMPV Black Hole Entropy
• Microscopic State of BHs and an Exact One Body Method for Binary Dynamics in General Relativity
• Lost Chapters in CHL Black Holes: Untwisted Quarter-BPS Dyons in the ${\mathbb{Z}}_2$ Model
• Signatures of quantum geometry from exponential corrections to the black hole entropy
• Mock Modularity Of Twisted Index In CHL Models