Article,

Asymptotic Expansion of the N=4 Dyon Degeneracy

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(Dec 3, 2008)

Abstract

We study various aspects of power suppressed as well as exponentiallysuppressed corrections in the asymptotic expansion of the degeneracy of quarterBPS dyons in N=4 supersymmetric string theories. In particular we explicitlycalculate the power suppressed corrections up to second order and the firstexponentially suppressed corrections. We also propose a macroscopic origin ofthe exponentially suppressed corrections using the quantum entropy functionformalism. This suggests a universal pattern of exponentially suppressedcorrections to all four dimensional extremal black hole entropies in stringtheory.

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