Precision Counting of Small Black Holes

Abstract

It has recently been proposed that a class of supersymmetric higher-derivative interactions in N=2 supergravity may encapsulate an infinite number of finite size corrections to the microscopic entropy of certain supersymmetric black holes. If this proposal is correct, it allows one to probe the string theory description of black-hole micro-states to far greater accuracy than has been possible before. We test this proposal for ``small'' black holes whose microscopic degeneracies can be computed exactly by counting the corresponding perturbative BPS states. We also study the ``black hole partition sum'' using general properties of of BPS degeneracies. This complements and extends our earlier work in hep-th/0502157

103 pages, uses JHEP3.cls

References in corpus (18)

• The fuzzball proposal for black holes: an elementary review
• Black Hole Attractors and the Topological String
• Black Hole Entropy Function and the Attractor Mechanism in Higher Derivative Gravity
• Exact Counting of Black Hole Microstates
• Microscopic Black Hole Entropy in Theories with Higher Derivatives
• Black Holes, q-Deformed 2d Yang-Mills, and Non-perturbative Topological Strings
• A Stringy Cloak for a Classical Singularity
• How Does a Fundamental String Stretch its Horizon?
• Asymptotic degeneracy of dyonic N=4 string states and black hole entropy
• Topological String Amplitudes, Complete Intersection Calabi-Yau Spaces and Threshold Corrections
• Two Dimensional Yang-Mills, Black Holes and Topological Strings
• Baby Universes in String Theory
• Exact and Asymptotic Degeneracies of Small Black Holes
• Attractors and the Holomorphic Anomaly
• String-Corrected Black Holes
• BPS Black Hole Degeneracies and Minimal Automorphic Representations
• Black Holes, Elementary Strings and Holomorphic Anomaly
• Exactly Soluble BPS Black Holes in Higher Curvature N=2 Supergravity

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• Nonperturbative black hole entropy and Kloosterman sums
• Quantum black holes, localization and the topological string
• Massless black holes and black rings as effective geometries of the D1-D5 system
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• Lectures on on Black Holes, Topological Strings and Quantum Attractors (2.0)
• String Theory Effects on Five-Dimensional Black Hole Physics
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• Dyon Spectrum in N=4 Supersymmetric Type II String Theories
• Spectrum of Dyons and Black Holes in CHL orbifolds using Borcherds Lift
• Exact Black Hole Degeneracies and the Topological String
• Blackhole/String Transition for the Small Schwarzschild Blackhole of $Ad{S}_5\times S^5$ and Critical Unitary Matrix Models
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• BPS Black Hole Degeneracies and Minimal Automorphic Representations
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• D3-instantons, Mock Theta Series and Twistors
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• Generalities of Quarter BPS Dyon Partition Function and Dyons of Torsion Two
• The M5-Brane Elliptic Genus: Modularity and BPS States
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• Topological strings and large N phase transitions II: Chiral expansion of q-deformed Yang-Mills theory
• Two Charge System Revisited: Small Black Holes or Horizonless Solutions?
• Wormholes and Spectral Statistics in the Narain Ensemble
• R^4 Corrections to D1D5p Black Hole Entropy from Entropy Function Formalism
• Lectures on black holes and the AdS_3 / CFT_2 correspondence
• Counting BPS states on the Enriques Calabi-Yau
• Spinning Strings as Small Black Rings
• Supersymmetric black holes
• BKM Lie superalgebras from counting twisted CHL dyons
• Extremal single-charge small black holes: Entropy function analysis
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• Fundamental Superstrings as Holograms
• Fricke S-duality in CHL models
• On the Microscopic Perspective of Black Branes Thermodynamic Geometry
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• Nearing the Horizon of a Heterotic String
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• Branes, Black Holes and Topological Strings on Toric Calabi-Yau Manifolds
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• No More Walls! A Tale of Modularity, Symmetry, and Wall Crossing for 1/4 BPS Dyons
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• Moonshine in Fivebrane Spacetimes
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• Quantum hypermultiplet moduli spaces in N=2 string vacua: a review
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• Black String Entropy and Fourier-Mukai Transform
• Duality Symmetry and the Cardy Limit
• Supersymmetric black holes in string theory
• Thermodynamic Geometric Stability of Quarkonia states
• BPS Saturated String Amplitudes: K3 Elliptic Genus and Igusa Cusp Form
• Automorphic Instanton Partition Functions on Calabi-Yau Threefolds
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• Cargese lectures on string theory with eight supercharges
• Exact effective interactions and 1/4-BPS dyons in heterotic CHL orbifolds
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• Black hole entropy and topological strings on generalized CY manifolds
• Pair Production of small Black Holes in Heterotic String Theories
• Entropy Maximization in the Presence of Higher-Curvature Interactions
• Microstate Dependence of Scattering from the D1-D5 System
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• Are There Four-Dimensional Small Black Rings?
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• U-duality Invariant Quantum Entropy from Sums of Kloosterman Sums
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