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

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Cited by in corpus (29)

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• State Operator Correspondence and Entanglement in AdS_2/CFT_1
• Eisenstein series and automorphic representations
• Microscopic and Macroscopic Entropy of Extremal Black Holes in String Theory
• Gravitational Collapse in Gravity's Rainbow
• BKM Lie superalgebras from counting twisted CHL dyons
• How Do Black Holes Predict the Sign of the Fourier Coefficients of Siegel Modular Forms?
• Fricke S-duality in CHL models
• The Largest Mathieu Group and (Mock) Automorphic Forms
• A universal formula for the density of states in theories with finite-group symmetry
• Logarithmic Corrections to Extremal Black Hole Entropy in N = 2, 4 and 8 Supergravity
• Generalised Mathieu Moonshine
• BKM Lie superalgebras from counting twisted CHL dyons -- II
• Negative discriminant states in N=4 supersymmetric string theories
• Logarithmic Corrections to Twisted Indices from the Quantum Entropy Function
• Heat Kernels on the AdS(2) cone and Logarithmic Corrections to Extremal Black Hole Entropy
• K3 String Theory, Lattices and Moonshine
• Dualities in CHL-Models
• Second Quantized Mathieu Moonshine
• BPS Spectrum, Indices and Wall Crossing in N=4 Supersymmetric Yang-Mills Theories
• Positivity of discrete information for CHL black holes
• Mock Modularity In CHL Models
• Exact Half-BPS Black Hole Entropies in CHL Models from Rademacher Series
• Umbral Moonshine and String Duality
• Lost Chapters in CHL Black Holes: Untwisted Quarter-BPS Dyons in the ${\mathbb{Z}}_2$ Model
• Universal fine grained asymptotics of free and weakly coupled Quantum Field Theory
• Mock Modularity Of Twisted Index In CHL Models