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 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, N., Nishioka, T. & Ugajin, T. Supersymmetric Rényi entropy in five dimensions. J. High Energ. Phys. 2014, 48 (2014). https://doi.org/10.1007/JHEP12(2014)048
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DOI: https://doi.org/10.1007/JHEP12(2014)048