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Exact and Asymptotic Degeneracies of Small Black Holes

Abstract : We examine the recently proposed relations between black hole entropy and the topological string in the context of type II/heterotic string dual models. We consider the degeneracies of perturbative heterotic BPS states. These correspond to `small' black holes which have zero horizon area in the classical limit, but nonzero area due to quantum corrections. In several examples with N=4 and N=2 supersymmetry, we show that the macroscopic degeneracy of small black holes agrees to all orders with the microscopic degeneracy deduced from an appropriate index, but misses non-perturbative corrections which are computable on the heterotic side. Using these examples we refine the previous proposals and comment on their domain of validity.
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https://hal.archives-ouvertes.fr/hal-00004304
Contributor : Boris Pioline Connect in order to contact the contributor
Submitted on : Sunday, February 20, 2005 - 6:24:55 PM
Last modification on : Wednesday, November 17, 2021 - 12:26:30 PM

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Atish Dabholkar, Frederik Denef, Gregory W. Moore, Boris Pioline. Exact and Asymptotic Degeneracies of Small Black Holes. Journal of High Energy Physics, Springer, 2005, 0508, pp.021. ⟨hal-00004304⟩

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