Dyon Spectrum in CHL Models

Abstract

We propose a formula for the degeneracy of quarter BPS dyons in a class of CHL models. The formula uses a modular form of a subgroup of the genus two modular group Sp(2,Z). Our proposal is S-duality invariant and reproduces correctly the entropy of a dyonic black hole to first non-leading order for large values of the charges.

LaTeX file, 38 pages, minor changes in section 3.3(v2), minor changes in introduction, appendix A and C(v3)

References in corpus (3)

• Macroscopic entropy formulae and non-holomorphic corrections for supersymmetric black holes
• Asymptotic degeneracy of dyonic N=4 string states and black hole entropy
• Black Holes, Elementary Strings and Holomorphic Anomaly

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