# Single-centered black hole microstate degeneracies from instantons in supergravity

@article{Murthy2015SinglecenteredBH,
title={Single-centered black hole microstate degeneracies from instantons in supergravity},
author={Sameer Murthy and Valentin Reys},
journal={Journal of High Energy Physics},
year={2015},
volume={2016},
pages={1-33}
}
• Published 4 December 2015
• Physics
• Journal of High Energy Physics
A bstractWe obtain holographic constraints on the microscopic degeneracies of black holes by computing the exact macroscopic quantum entropy using localization, including the effects of string worldsheet instantons in the supergravity effective action. For 14$$\frac{1}{4}$$-BPS black holes in type II string theory on K3 × T2, the constraints can be explicitly checked against expressions for the microscopic BPS counting functions that are known in terms of certain mock modular forms. We find…
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