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arXiv · 1410.2206

Supersymmetric Rényi Entropy in Five Dimensions

Naofumi Hama·Tatsuma Nishioka·Tomonori Ugajin
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Abstract

We introduce supersymmetric Rényi entropies for $\mathcal{N}=1$ supersymmetric gauge theories in five dimensions. The matrix model representation is obtained using the localization method and the large-$N$ behavior is studied. The gravity dual is a supersymmetric charged topological AdS$_6$ black hole in the Romans $F(4)$ supergravity. The variation of the supersymmetric Rényi entropy due to the insertion of a BPS Wilson loop is computed. We find perfect agreements between the large-$N$ and the dual gravity computations both with and without the Wilson loop operator.

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Naofumi Hama, Tatsuma Nishioka, Tomonori Ugajin. 2014-12-05. Supersymmetric Rényi Entropy in Five Dimensions. https://doi.org/10.1007/jhep12(2014)048

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