General results for higher spin Wilson lines and entanglement in Vasiliev theory
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 W _{N} vacuum block, and our results provide an explicit result for this object.
 Authors:

^{[1]};
^{[1]};
^{[2]}
 Univ. of California, Los Angeles, CA (United States). Dept. of Physics and Astronomy
 Princeton Univ., NJ (United States). Dept. of Physics
 Publication Date:
 Grant/Contract Number:
 FG0291ER40671
 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 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Princeton Univ., NJ (United States)
 Sponsoring Org:
 USDOE
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; higher spin symmetry; AdSCFT correspondence; conformal and W symmetry
 OSTI Identifier:
 1327291
Hegde, Ashwin, Kraus, Per, and Perlmutter, Eric. General results for higher spin Wilson lines and entanglement in Vasiliev theory. United States: N. p.,
Web. doi:10.1007/JHEP01(2016)176.
Hegde, Ashwin, Kraus, Per, & Perlmutter, Eric. General results for higher spin Wilson lines and entanglement in Vasiliev theory. United States. doi:10.1007/JHEP01(2016)176.
Hegde, Ashwin, Kraus, Per, and Perlmutter, Eric. 2016.
"General results for higher spin Wilson lines and entanglement in Vasiliev theory". United States.
doi:10.1007/JHEP01(2016)176. https://www.osti.gov/servlets/purl/1327291.
@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 = {2016},
month = {1}
}