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arXiv · 1904.05361

Black Holes and (0,4) SCFTs from Type IIB on K3

Christopher Couzens·Huibert het Lam·Kilian Mayer·Stefan Vandoren
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Abstract

We study the central charges and levels of 2d $\mathcal{N}=(0,4)$ superconformal field theories that are dual to four- and five-dimensional BPS black holes in compactifications of type IIB string theory on a K3 surface. They arise from wrapping a D3-brane on a curve $C$ inside K3 and have transverse space either an ALE or ALF space. These D3-branes have an AdS$_3 \times \mathrm{S}^3/ \Gamma$ near horizon geometry where $\Gamma$ is a discrete subgroup of $SU(2)$. We compute the central charges and levels of the 2d SCFTs both in the microscopic picture and from six-dimensional $\mathcal{N}=(2,0)$ supergravity. These quantities determine the black hole entropy via Cardy's formula. We find agreement between the microscopic and macroscopic computations. The contributions from one-loop quantum corrections to the macroscopic result are crucial for this matching.

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Christopher Couzens, Huibert het Lam, Kilian Mayer, Stefan Vandoren. 2019-04-10. Black Holes and (0,4) SCFTs from Type IIB on K3. https://arxiv.org/abs/1904.05361

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