Asymptotic Expansion of the N=4 Dyon Degeneracy

Details Asymptotic Expansion of the N=4 Dyon Degeneracy Asymptotic Expansion of the N=4 Dyon Degeneracy

2008-10-20

arxiv.org/abs/0810.3472v2

JHEP 0905:121,2009

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX file, 2 figures, 28 pages; v2: added discussion on fermionic and bosonic zero modes of the AdS_2/Z_N solution, added ref

Scientific paper

10.1088/1126-6708/2009/05/121

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.

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