CHL Dyons and Statistical Entropy Function from D1-D5 System

Abstract

We give a proof of the recently proposed formula for the dyon spectrum in CHL string theories by mapping it to a configuration of D1 and D5-branes and Kaluza-Klein monopole. We also give a prescription for computing the degeneracy as a systematic expansion in inverse powers of charges. The computation can be formulated as a problem of extremizing a duality invariant statistical entropy function whose value at the extremum gives the logarithm of the degeneracy. During this analysis we also determine the locations of the zeroes and poles of the Siegel modular forms whose inverse give the dyon partition function in the CHL models.

LaTeX file, 48 pages; v2: typos corrected

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• Lectures on Quantum Black Holes
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• A Farey tale for N=4 dyons
• Dyon Spectrum in N=4 Supersymmetric Type II String Theories
• Black hole entropy in massive Type IIA
• alpha'-Corrections to Extremal Dyonic Black Holes in Heterotic String Theory
• Dyon Spectrum in Generic N=4 Supersymmetric Z_N Orbifolds
• Two Centered Black Holes and N=4 Dyon Spectrum
• Black Hole Hair Removal
• Spectrum of CHL Dyons from Genus-Two Partition Function
• Stringy NJL and Gross-Neveu models at finite density and temperature
• N=8 Dyon Partition Function and Walls of Marginal Stability
• Partition Functions of Torsion >1 Dyons in Heterotic String Theory on T^6
• Wall Crossing, Discrete Attractor Flow and Borcherds Algebra
• BKM Lie superalgebras from dyon spectra in Z_N-CHL orbifolds for composite N
• Supersymmetry, Localization and Quantum Entropy Function
• Asymptotic Expansion of the N=4 Dyon Degeneracy
• Corrections to the statistical entropy of five dimensional black holes
• Generalities of Quarter BPS Dyon Partition Function and Dyons of Torsion Two
• Black Hole Microstate Counting and its Macroscopic Counterpart
• Logarithmic Corrections to Entropy of Magnetically Charged AdS4 Black Holes
• Two Charge System Revisited: Small Black Holes or Horizonless Solutions?
• Duality Orbits, Dyon Spectrum and Gauge Theory Limit of Heterotic String Theory on T^6
• Counting all dyons in N =4 string theory
• The Siegel modular forms of genus 2 with the simplest divisor
• Discrete Information from CHL Black Holes
• Elliptic genera of ALE and ALF manifolds from gauged linear sigma models
• Supersymmetric Localization for BPS Black Hole Entropy: 1-loop Partition Function from Vector Multiplets
• BKM Lie superalgebras from counting twisted CHL dyons
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• Wall Crossing Formula for N=4 Dyons: A Macroscopic Derivation
• Subleading and non-holomorphic corrections to N=2 BPS black hole entropy
• Fricke S-duality in CHL models
• How Do Black Holes Predict the Sign of the Fourier Coefficients of Siegel Modular Forms?
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• Adding Charges to N=4 Dyons
• Extremal black holes in D=5: SUSY vs. Gauss-Bonnet corrections
• alpha'^2-corrections to extremal dyonic black holes in heterotic string theory
• On the Entropy Function and the Attractor Mechanism for Spherically Symmetric Extremal Black Holes
• On the dyon partition function in N=2 theories
• Self-dual Strings and 2D SYM
• The mixed black hole partition function for the STU model
• Generalized Kac-Moody Algebras from CHL dyons
• Genus Two Surface and Quarter BPS Dyons: The Contour Prescription
• No More Walls! A Tale of Modularity, Symmetry, and Wall Crossing for 1/4 BPS Dyons
• State-space Correlations and Stabilities
• Single-centered black hole microstate degeneracies from instantons in supergravity
• Negative discriminant states in N=4 supersymmetric string theories
• BKM Lie superalgebras from counting twisted CHL dyons -- II
• The Holographic Landscape of Symmetric Product Orbifolds
• Entropy function and higher derivative corrections to entropies in (anti-)de Sitter space
• Siegel Modular Forms and Black Hole Entropy
• Degeneracy of Decadent Dyons
• Dyon Death Eaters
• Three String Junction and N=4 Dyon Spectrum
• Brewing moonshine for Mathieu
• BPS black holes, the Hesse potential, and the topological string
• Four-dimensional black hole entropy from F-theory
• Mixed Rademacher and BPS Black Holes
• Logarithmic Corrections to Twisted Indices from the Quantum Entropy Function
• Subleading Correction to Statistical Entropy for BMPV Black Hole
• Duality Symmetry and the Cardy Limit
• Supersymmetric black holes in string theory
• Dyonic black hole degeneracies in $\mathcal{N}=4$ string theory from Dabholkar-Harvey degeneracies
• K3 String Theory, Lattices and Moonshine
• Heat Kernels on the AdS(2) cone and Logarithmic Corrections to Extremal Black Hole Entropy
• The world-sheet corrections to dyons in the Heterotic theory
• Heterotic string on the CHL orbifold of K3
• Siegel Paramodular Forms and Sparseness in AdS${}_3$/CFT${}_2$
• Exact effective interactions and 1/4-BPS dyons in heterotic CHL orbifolds
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• Geometric Perspective of Entropy Function: Embedding, Spectrum and Convexity
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• Counting Strings, Wound and Bound
• The gravitational path integral for $N=4$ BPS black holes from black hole microstate counting
• Double-Horizon Limit and Decoupling of the Dynamics at the Horizon
• Monster symmetry and Extremal CFTs
• Black Hole Bound State Metamorphosis
• The Spectra of Supersymmetric States in String Theory
• Mock modularity from black hole scattering states
• Mock Modular Index of M2-M5 Brane System
• Stringy effects in black hole decay
• Quantum Black Hole Entropy, Localization and the Stringy Exclusion Principle
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• Generating new $N=2$ small black holes
• Arithmetic of decay walls through continued fractions: a new exact dyon counting solution in $\mathcal{N}=4$ CHL models
• Black Hole Hair Removal For N=4 CHL Models
• Horizon states and the sign of their index in $\mathcal{N}=4$ dyons
• Three Avatars of Mock Modularity
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