Asymptotic Expansion of the N=4 Dyon Degeneracy

Abstract

We study various aspects of power suppressed as well as exponentially suppressed corrections in the asymptotic expansion of the degeneracy of quarter BPS dyons in N=4 supersymmetric string theories. In particular we explicitly calculate the power suppressed corrections up to second order and the first exponentially suppressed corrections. We also propose a macroscopic origin of the exponentially suppressed corrections using the quantum entropy function formalism. This suggests a universal pattern of exponentially suppressed corrections to all four dimensional extremal black hole entropies in string theory.

arXiv commentLaTeX file, 2 figures, 28 pages; v2: added discussion on fermionic and bosonic zero modes of the AdS_2/Z_N solution, added references, rewrote footnote 4

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Cited by in corpus (44)

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• Quantum black holes, localization and the topological string
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• State Operator Correspondence and Entanglement in AdS_2/CFT_1
• A Farey tale for N=4 dyons
• All solutions of the localization equations for N=2 quantum black hole entropy
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• Black Hole Microstate Counting and its Macroscopic Counterpart
• Discrete Information from CHL Black Holes
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• Negative discriminant states in N=4 supersymmetric string theories
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• Exact effective interactions and 1/4-BPS dyons in heterotic CHL orbifolds
• Supersymmetrization of deformed BMS algebras
• Perturbative tests of non-perturbative counting
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• N=4 Topological Amplitudes and Black Hole Entropy
• Functional determinants, index theorems, and exact quantum black hole entropy
• The gravitational path integral for $N=4$ BPS black holes from black hole microstate counting
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• On the localization manifold of 5d supersymmetric spinning black holes
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• On Exponentially Suppressed Corrections to BMPV Black Hole Entropy
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