We introduce supersymmetric Rényi 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 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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Hama et al. (2014) studied this question.
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