Supersymmetric Rényi Entropy in Five Dimensions

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.

27pages; v2 typos corrected; v3 minor improvements, to be published

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Cited by in corpus (1)

• The holographic supersymmetric Renyi entropy in five dimensions