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arXiv · 1907.03430

Magnetically charged AdS5 black holes from class S theories on hyperbolic 3-manifolds

Jin-Beom Bae·Dongmin Gang·Kimyeong Lee
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Abstract

We study the twisted index of 4d $\mathcal{N}$ = 2 class S theories on a closed hyperbolic 3-manifold $M_3$. Via 6d picture, the index can be written in terms of topological invariants called analytic torsions twisted by irreducible flat connections on the 3-manifold. Using the topological expression, we determine the full perturbative 1/N expansion of the twisted index. The leading part nicely matches the Bekestein-Hawking entropy of a magnetically charged black hole in the holographic dual $AdS_5$ with $AdS_2\times M_3$ near-horizon.

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Jin-Beom Bae, Dongmin Gang, Kimyeong Lee. 2019-07-08. Magnetically charged AdS5 black holes from class S theories on hyperbolic 3-manifolds. https://doi.org/10.1007/jhep02(2020)158

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