Discrete Information from CHL Black Holes

Abstract

AdS_2/CFT_1 correspondence predicts that the logarithm of a Z_N twisted index over states carrying a fixed set of charges grows as 1/N times the entropy of the black hole carrying the same set of charges. In this paper we verify this explicitly by calculating the microscopic Z_N twisted index for a class of states in the CHL models. This demonstrates that black holes carry more information about the microstates than just the total degeneracy.

LaTeX file, 24 pages; v2: references added

References in corpus (16)

• Quantum Entropy Function from AdS(2)/CFT(1) Correspondence
• CHL Dyons and Statistical Entropy Function from D1-D5 System
• Walls of Marginal Stability and Dyon Spectrum in N=4 Supersymmetric String Theories
• Comments on the Spectrum of CHL Dyons
• Arithmetic of Quantum Entropy Function
• Product Representation of Dyon Partition Function in CHL Models
• 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
• Re-Recounting Dyons in N=4 String Theory
• Partition Functions of Torsion >1 Dyons in Heterotic String Theory on T^6
• Asymptotic Expansion of the N=4 Dyon Degeneracy
• Generalities of Quarter BPS Dyon Partition Function and Dyons of Torsion Two
• Adding Charges to N=4 Dyons

Cited by in corpus (5)

• Logarithmic Corrections to Extremal Black Hole Entropy from Quantum Entropy Function
• Note on Twisted Elliptic Genus of K3 Surface
• Supersymmetric Index from Black Hole Entropy
• BKM Lie superalgebras from counting twisted CHL dyons
• How Do Black Holes Predict the Sign of the Fourier Coefficients of Siegel Modular Forms?