Super-R\'enyi Entropy & Wilson Loops for N=4 SYM and their Gravity Duals
Abstract
We compute the supersymmetric R\'enyi entropies across a spherical entanglement surface in N=4 SU(N) SYM theory using localization on the four-dimensional ellipsoid. We extract the leading result at large N and \lambda, and match its universal part to a gravity calculation involving a hyperbolically sliced supersymmetric black hole solution of N=4+ SU(2) X U(1) gauged supergravity in five dimensions. We repeat the analysis in the presence of a Wilson loop insertion and find again a perfect match with the dual string theory. Understanding the Wilson loop operator requires knowledge of the full ten-dimensional IIB supergravity solution which we elaborate upon.
Keywords
Cite
@article{arxiv.1409.0542,
title = {Super-R\'enyi Entropy & Wilson Loops for N=4 SYM and their Gravity Duals},
author = {Michael Crossley and Ethan Dyer and Julian Sonner},
journal= {arXiv preprint arXiv:1409.0542},
year = {2015}
}
Comments
30+1 pages, 1 table; minor corrections, references added; matches published version (JHEP)