Super-Rényi entropy & Wilson loops for N = 4 SYM and their gravity duals
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Crossley-2014-Super-Renyi entropy.pdf
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534.62 KB
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Author(s)
Dyer, Ethan Stanley
Sonner, Julian
Crossley, Michael J.
Date Issued
December 2014
Journal
Journal of High Energy Physics
Publisher
Springer-Verlag
Citation
Crossley, Michael, Ethan Dyer, and Julian Sonner. “Super-Rényi Entropy & Wilson Loops for N = 4 SYM and Their Gravity Duals.” J. High Energ. Phys. 2014, no. 12 (December 2014).
Version
Final published version
Abstract
We compute the supersymmetric Rényi 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 λ and match its universal part to a gravity calculation involving a hyperbolically sliced supersymmetric black hole solution of N = 4[superscript +] 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.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
Massachusetts Institute of Technology. Laboratory for Nuclear Science
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Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/JHEP12(2014)001
