Exact and Asymptotic Degeneracies of Small Black Holes

Atish Dabholkar , Frederik Denef , Gregory W. Moore , Boris Pioline (1, 2)

1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies
2 LPTENS - Laboratoire de Physique Théorique de l'ENS [École Normale Supérieure]

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.

Domaines: Physique des Hautes Energies - Théorie [hep-th]

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