Black Hole Microstates and Attractor Without Supersymmetry

Abstract

Due to the attractor mechanism, the entropy of an extremal black hole does not vary continuously as we vary the asymptotic values of various moduli fields. Using this fact we argue that the entropy of an extremal black hole in string theory, calculated for a range of values of the asymptotic moduli for which the microscopic theory is strongly coupled, should match the statistical entropy of the same system calculated for a range of values of the asymptotic moduli for which the microscopic theory is weakly coupled. This argument does not rely on supersymmetry and applies equally well to nonsupersymmetric extremal black holes. We discuss several examples which support this argument and also several caveats which could invalidate this argument.

50 pages; references added

References in corpus (64)

• The Black Hole in Three Dimensional Space Time
• Microscopic Origin of the Bekenstein-Hawking Entropy
• Black Hole Entropy is Noether Charge
• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• Black Hole Entropy from Near-Horizon Microstates
• N=2 Extremal Black Holes
• Evidence for Heterotic - Type I String Duality
• Supersymmetry and Attractors
• On Black Hole Entropy
• Black Hole Entropy in M-Theory
• Black Hole Attractors and the Topological String
• Open P-Branes
• Macroscopic Entropy of $N=2$ Extremal Black Holes
• Black Hole Entropy Function and the Attractor Mechanism in Higher Derivative Gravity
• Black Holes and Critical Points in Moduli Space
• EXTREMAL BLACK HOLES AND ELEMENTARY STRING STATES
• Statistical Entropy of Four-Dimensional Extremal Black Holes
• Exact Counting of Black Hole Microstates
• Corrections to macroscopic supersymmetric black-hole entropy
• Non-Supersymmetric Attractors
• Microscopic Black Hole Entropy in Theories with Higher Derivatives
• Holographic Gravitational Anomalies
• Rotating Attractors
• New Connections Between 4D and 5D Black Holes
• Entropy of Non-Extreme Charged Rotating Black Holes in String Theory
• Precision Counting of Small Black Holes
• The Rotating Dyonic Black Holes Of Kaluza-Klein Theory
• Non-Supersymmetric Attractors in String Theory
• CHL Dyons and Statistical Entropy Function from D1-D5 System
• Macroscopic entropy formulae and non-holomorphic corrections for supersymmetric black holes
• Entropy Function for Heterotic Black Holes
• Rotating Kaluza-Klein Black Holes
• A Stringy Cloak for a Classical Singularity
• Statistical Entropy of Nonextremal Four-Dimensional Black Holes and U-Duality
• The Non-BPS Black Hole Attractor Equation
• How Does a Fundamental String Stretch its Horizon?
• New Attractors
• Microscopic Entropy of N=2 Extremal Black Holes
• Holography with Gravitational Chern-Simons Term
• Asymptotic degeneracy of dyonic N=4 string states and black hole entropy
• Ten Dimensional Heterotic String as a Soliton
• Microstates of a Neutral Black Hole in M Theory
• String-String Duality in Ten Dimensions
• Statistical Entropy of BTZ Black Hole in Higher Curvature Gravity
• BTZ Black Hole with Chern-Simons and Higher Derivative Terms
• Non-supersymmetric Meta-Stable vacua in SU(N) SQCD with adjoint matter
• Fivebrane Instantons and $R^2$ couplings in $N=4$ String Theory
• Dual Pairs of Type II String Compactification
• Exact and Asymptotic Degeneracies of Small Black Holes
• New Attractors and Area Codes
• Stationary BPS Solutions in N=2 Supergravity with R^2-Interactions
• 5D Black Rings and 4D Black Holes
• A Non--Supersymmetric Dyonic Extreme Reissner--Nordström Black Hole
• Stretching the Horizon of a Higher Dimensional Small Black Hole
• alpha'-Corrections to Extremal Dyonic Black Holes in Heterotic String Theory
• Entropy and supersymmetry of $D$ dimensional extremal electric black holes versus string states
• Area law corrections from state counting and supergravity
• A C-Function For Non-Supersymmetric Attractors
• Black Holes, Elementary Strings and Holomorphic Anomaly
• Microstates of Non-supersymmetric Black Holes
• Extremality Versus Supersymmetry in Stringy Black Holes
• R^4 Corrections to D1D5p Black Hole Entropy from Entropy Function Formalism
• From BPS to Non-BPS Black Holes Canonically
• Black holes and Elementary String States in N=2 Supersymmetric String Theories

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