Black Hole Bound State Metamorphosis

Abstract

N=4 supersymmetric string theories contain negative discriminant states whose numbers are known precisely from microscopic counting formulae. On the macroscopic side, these results can be reproduced by regarding these states as multi-centered black hole configurations provided we make certain identification of apparently distinct multi-centered black hole configurations according to a precise set of rules. In this paper we provide a physical explanation of such identifications, thereby establishing that multi-centered black hole configurations reproduce correctly the microscopic results for the number of negative discriminant states without any ad hoc assumption.

LaTex file, 30 pages

References in corpus (10)

• CHL Dyons and Statistical Entropy Function from D1-D5 System
• Magnetic Monopole Dynamics, Supersymmetry, and Duality
• Walls of Marginal Stability and Dyon Spectrum in N=4 Supersymmetric String Theories
• Comments on the Spectrum of CHL Dyons
• Dyon Spectrum in N=4 Supersymmetric Type II String Theories
• Dyon Spectrum in Generic N=4 Supersymmetric Z_N Orbifolds
• N=8 Dyon Partition Function and Walls of Marginal Stability
• Partition Functions of Torsion >1 Dyons in Heterotic String Theory on T^6
• Generalities of Quarter BPS Dyon Partition Function and Dyons of Torsion Two
• Negative discriminant states in N=4 supersymmetric string theories

Cited by in corpus (5)

• Microscopic and Macroscopic Entropy of Extremal Black Holes in String Theory
• Dyonic black hole degeneracies in $\mathcal{N}=4$ string theory from Dabholkar-Harvey degeneracies
• Heat Kernels on the AdS(2) cone and Logarithmic Corrections to Extremal Black Hole Entropy
• BPS Dendroscopy on Local $P^2$
• Arithmetic of decay walls through continued fractions: a new exact dyon counting solution in $\mathcal{N}=4$ CHL models