Dyon Spectrum in Generic N=4 Supersymmetric Z_N Orbifolds

Abstract

We find the exact spectrum of a class of quarter BPS dyons in a generic N=4 supersymmetric Z_N orbifold of type IIA string theory on K3\times T^2 or T^6. We also find the asymptotic expansion of the statistical entropy to first non-leading order in inverse power of charges and show that it agrees with the entropy of a black hole carrying same set of charges after taking into account the effect of the four derivative Gauss-Bonnet term in the effective action of the theory.

arXiv commentLaTeX file, 39 pages; minor changes

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Cited by in corpus (64)

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• Walls of Marginal Stability and Dyon Spectrum in N=4 Supersymmetric String Theories
• Comments on the Spectrum of CHL Dyons
• Supersymmetric Index from Black Hole Entropy
• Supersymmetric Gauge Theories, Intersecting Branes and Free Fermions
• Dying Dyons Don't Count
• Two Centered Black Holes and N=4 Dyon Spectrum
• Spectrum of CHL Dyons from Genus-Two Partition Function
• Partition Functions of Torsion >1 Dyons in Heterotic String Theory on T^6
• Microscopic and Macroscopic Entropy of Extremal Black Holes in String Theory
• Wall Crossing, Discrete Attractor Flow and Borcherds Algebra
• BKM Lie superalgebras from dyon spectra in Z_N-CHL orbifolds for composite N
• Generalities of Quarter BPS Dyon Partition Function and Dyons of Torsion Two
• Black Hole Microstate Counting and its Macroscopic Counterpart
• Asymptotic Expansion of the N=4 Dyon Degeneracy
• Duality Orbits, Dyon Spectrum and Gauge Theory Limit of Heterotic String Theory on T^6
• Discrete Information from CHL Black Holes
• BKM Lie superalgebras from counting twisted CHL dyons
• No entropy enigmas for N=4 dyons
• How Do Black Holes Predict the Sign of the Fourier Coefficients of Siegel Modular Forms?
• Rare Decay Modes of Quarter BPS Dyons
• A Twist in the Dyon Partition Function
• Revisiting Leading Quantum Corrections to Near Extremal Black Hole Thermodynamics
• S-duality Action on Discrete T-duality Invariants
• Unravelling Mathieu Moonshine
• Adding Charges to N=4 Dyons
• Logarithmic Corrections to Extremal Black Hole Entropy in N = 2, 4 and 8 Supergravity
• On the dyon partition function in N=2 theories
• The mixed black hole partition function for the STU model
• 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
• On walls of marginal stability in N=2 string theories
• BKM Lie superalgebras from counting twisted CHL dyons -- II
• Negative discriminant states in N=4 supersymmetric string theories
• Dyon Death Eaters
• Degeneracy of Decadent Dyons
• BPS State Counting in N=8 Supersymmetric String Theory for Pure D-brane Configurations
• Three String Junction and N=4 Dyon Spectrum
• Four-derivative couplings and BPS dyons in heterotic CHL orbifolds
• Logarithmic Corrections to Twisted Indices from the Quantum Entropy Function
• Exact effective interactions and 1/4-BPS dyons in heterotic CHL orbifolds
• Borcherds Algebras and N=4 Topological Amplitudes
• Supersymmetrization of deformed BMS algebras
• $\mathcal{N}=2$ heterotic string compactifications on orbifolds of $K3\times T^2$
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• Dyon degeneracies from Mathieu moonshine
• A Borcherds-Kac-Moody superalgebra with Conway symmetry
• BKM superalgebras from counting dyons in N=4 supersymmetric type II compactifications
• Properties of dyons in $\mathcal{N}=4$ theories at small charges
• Gravitational couplings in $\mathcal{N}=2$ string compactifications and Mathieu Moonshine
• Black Hole Bound State Metamorphosis
• Perturbative higher-derivative terms in N=6 asymmetric orbifolds
• Indefinite theta functions and black hole partition functions
• An approach to BPS black hole microstate counting in an N=2 STU model
• Positivity of discrete information for CHL black holes
• Horizon states and the sign of their index in $\mathcal{N}=4$ dyons
• Black Hole Hair Removal For N=4 CHL Models
• Generating new $N=2$ small black holes
• Mock Modularity In CHL Models
• Heterotic strings on $(K3\times T^2)/{\mathbb{Z}}_3$ and their dual Calabi-Yau threefolds
• A Geometric Derivation of the Dyon Wall-Crossing Group
• On Exponentially Suppressed Corrections to BMPV Black Hole Entropy
• Some comments on symmetric orbifolds of K3