Supersymmetric R\'enyi Entropy in Five Dimensions
High Energy Physics - Theory
2015-06-23 v3
Abstract
We introduce supersymmetric R\'enyi entropies for supersymmetric gauge theories in five dimensions. The matrix model representation is obtained using the localization method and the large- behavior is studied. The gravity dual is a supersymmetric charged topological AdS black hole in the Romans 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- and the dual gravity computations both with and without the Wilson loop operator.
Cite
@article{arxiv.1410.2206,
title = {Supersymmetric R\'enyi Entropy in Five Dimensions},
author = {Naofumi Hama and Tatsuma Nishioka and Tomonori Ugajin},
journal= {arXiv preprint arXiv:1410.2206},
year = {2015}
}
Comments
27pages; v2 typos corrected; v3 minor improvements, to be published