Supersymmetric R\'enyi Entropy in Five Dimensions
Abstract
We introduce supersymmetric R\'enyi entropies for 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 AdS6 black hole in the Romans F(4) supergravity. The variation of the supersymmetric R\'enyi 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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