Super-Rényi entropy & Wilson loops for $$ \mathcal{N}=4 $$ SYM and their gravity duals

A bstract We compute the supersymmetric Rényi entropies across a spherical entanglement surface in $$ \mathcal{N}=4 $$ N = 4 SU( N ) SYM theory using localization on the four-dimensional ellipsoid. We extract the leading result at large N and λ and match its universal part to a gravity calculation i...

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Published in:The journal of high energy physics 2014-12, Vol.2014 (12), Article 1
Main Authors: Crossley, Michael, Dyer, Ethan, Sonner, Julian
Format: Article
Language:English
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Summary:A bstract We compute the supersymmetric Rényi entropies across a spherical entanglement surface in $$ \mathcal{N}=4 $$ N = 4 SU( N ) SYM theory using localization on the four-dimensional ellipsoid. We extract the leading result at large N and λ and match its universal part to a gravity calculation involving a hyperbolically sliced supersymmetric black hole solution of $$ \mathcal{N}={4}^{+} $$ N = 4 + SU(2) × 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP12(2014)001