Shape dependence of holographic Rényi entropy in general dimensions
We present a holographic method for computing the response of Rényi entropies in conformal field theories to small shape deformations around a flat (or spherical) entangling surface. Our strategy employs the stress tensor onepoint function in a deformed hyperboloid background and relates it to the coefficient in the twopoint function of the displacement operator. We obtain explicit numerical results for d = 3, · · · , 6 spacetime dimensions, and also evaluate analytically the limits where the Rényi index approaches 1 and 0 in general dimensions. We use our results to extend the work of 1602.08493 and disprove a set of conjectures in the literature regarding the relation between the Rényi shape dependence and the conformal weight of the twist operator. As a result, we also extend our analysis beyond leading order in derivatives in the bulk theory by studying GaussBonnet gravity.
 Authors:

^{[1]};
^{[2]};
^{[3]};
^{[4]};
^{[5]};
^{[2]}
 Univ. Hamburg, Hamburg (Germany)
 Perimeter Institute for Theoretical Physics, Waterloo (Canada)
 Institute for Advanced Study, Princeton, NJ (United States)
 Perimeter Institute for Theoretical Physics, Waterloo (Canada); Univ. of Western Ontario, London (Canada)
 Perimeter Institute for Theoretical Physics, Waterloo (Canada); Scuola Normale Superiore, Pisa (Italy); INFN  Sezione di Pisa, Pisa (Italy)
 Publication Date:
 Grant/Contract Number:
 SC0009988
 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: 11; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Univ. Hamburg, Hamburg (Germany)
 Sponsoring Org:
 USDOE Office of Science (SC), High Energy Physics (HEP) (SC25)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AdSCFT correspondence; conformal field theory; field theories in higher dimensions
 OSTI Identifier:
 1358547
Bianchi, Lorenzo, Chapman, Shira, Dong, Xi, Galante, Damián A., Meineri, Marco, and Myers, Robert C.. Shape dependence of holographic Rényi entropy in general dimensions. United States: N. p.,
Web. doi:10.1007/JHEP11(2016)180.
Bianchi, Lorenzo, Chapman, Shira, Dong, Xi, Galante, Damián A., Meineri, Marco, & Myers, Robert C.. Shape dependence of holographic Rényi entropy in general dimensions. United States. doi:10.1007/JHEP11(2016)180.
Bianchi, Lorenzo, Chapman, Shira, Dong, Xi, Galante, Damián A., Meineri, Marco, and Myers, Robert C.. 2016.
"Shape dependence of holographic Rényi entropy in general dimensions". United States.
doi:10.1007/JHEP11(2016)180. https://www.osti.gov/servlets/purl/1358547.
@article{osti_1358547,
title = {Shape dependence of holographic Rényi entropy in general dimensions},
author = {Bianchi, Lorenzo and Chapman, Shira and Dong, Xi and Galante, Damián A. and Meineri, Marco and Myers, Robert C.},
abstractNote = {We present a holographic method for computing the response of Rényi entropies in conformal field theories to small shape deformations around a flat (or spherical) entangling surface. Our strategy employs the stress tensor onepoint function in a deformed hyperboloid background and relates it to the coefficient in the twopoint function of the displacement operator. We obtain explicit numerical results for d = 3, · · · , 6 spacetime dimensions, and also evaluate analytically the limits where the Rényi index approaches 1 and 0 in general dimensions. We use our results to extend the work of 1602.08493 and disprove a set of conjectures in the literature regarding the relation between the Rényi shape dependence and the conformal weight of the twist operator. As a result, we also extend our analysis beyond leading order in derivatives in the bulk theory by studying GaussBonnet gravity.},
doi = {10.1007/JHEP11(2016)180},
journal = {Journal of High Energy Physics (Online)},
number = 11,
volume = 2016,
place = {United States},
year = {2016},
month = {11}
}