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Title: General results for higher spin Wilson lines and entanglement in Vasiliev theory

Abstract

Here, we develop tools for the efficient evaluation of Wilson lines in 3D higher spin gravity, and use these to compute entanglement entropy in the hs[λ ] Vasiliev theory that governs the bulk side of the duality proposal of Gaberdiel and Gopakumar. Our main technical advance is the determination of SL(N) Wilson lines for arbitrary N, which, in suitable cases, enables us to analytically continue to hs[λ ] via N→ -λ. We then apply this result to compute various quantities of interest, including entanglement entropy expanded perturbatively in the background higher spin charge, chemical potential, and interval size. This includes a computation of entanglement entropy in the higher spin black hole of the Vasiliev theory. Our results are consistent with conformal field theory calculations. We also provide an alternative derivation of the Wilson line, by showing how it arises naturally from earlier work on scalar correlators in higher spin theory. The general picture that emerges is consistent with the statement that the SL(N) Wilson line computes the semiclassical WN vacuum block, and our results provide an explicit result for this object.

Authors:
 [1];  [1];  [2]
+ Show Author Affiliations
  1. Univ. of California, Los Angeles, CA (United States). Dept. of Physics and Astronomy
  2. Princeton Univ., NJ (United States). Dept. of Physics
Publication Date:
Research Org.:
Princeton Univ., NJ (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1327291
Grant/Contract Number:  
FG02-91ER40671
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 1; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; higher spin symmetry; AdS-CFT correspondence; conformal and W symmetry

Citation Formats

Hegde, Ashwin, Kraus, Per, and Perlmutter, Eric. General results for higher spin Wilson lines and entanglement in Vasiliev theory. United States: N. p., 2016. Web. doi:10.1007/JHEP01(2016)176.
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Hegde, Ashwin, Kraus, Per, & Perlmutter, Eric. General results for higher spin Wilson lines and entanglement in Vasiliev theory. United States. https://doi.org/10.1007/JHEP01(2016)176
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Hegde, Ashwin, Kraus, Per, and Perlmutter, Eric. Thu . "General results for higher spin Wilson lines and entanglement in Vasiliev theory". United States. https://doi.org/10.1007/JHEP01(2016)176. https://www.osti.gov/servlets/purl/1327291.
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@article{osti_1327291,
title = {General results for higher spin Wilson lines and entanglement in Vasiliev theory},
author = {Hegde, Ashwin and Kraus, Per and Perlmutter, Eric},
abstractNote = {Here, we develop tools for the efficient evaluation of Wilson lines in 3D higher spin gravity, and use these to compute entanglement entropy in the hs[λ ] Vasiliev theory that governs the bulk side of the duality proposal of Gaberdiel and Gopakumar. Our main technical advance is the determination of SL(N) Wilson lines for arbitrary N, which, in suitable cases, enables us to analytically continue to hs[λ ] via N→ -λ. We then apply this result to compute various quantities of interest, including entanglement entropy expanded perturbatively in the background higher spin charge, chemical potential, and interval size. This includes a computation of entanglement entropy in the higher spin black hole of the Vasiliev theory. Our results are consistent with conformal field theory calculations. We also provide an alternative derivation of the Wilson line, by showing how it arises naturally from earlier work on scalar correlators in higher spin theory. The general picture that emerges is consistent with the statement that the SL(N) Wilson line computes the semiclassical WN vacuum block, and our results provide an explicit result for this object.},
doi = {10.1007/JHEP01(2016)176},
journal = {Journal of High Energy Physics (Online)},
number = 1,
volume = 2016,
place = {United States},
year = {Thu Jan 28 00:00:00 EST 2016},
month = {Thu Jan 28 00:00:00 EST 2016}
}
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https://doi.org/10.1007/JHEP01(2016)176
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