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Title: Supersymmetric Renyi entropy in CFT 2 and AdS 3

We show that in any two dimensional conformal field theory with (2, 2) super-symmetry one can define a supersymmetric analog of the usual Renyi entropy of a spatial region A. It differs from the Renyi entropy by a universal function (which we compute) of the central charge, Renyi parameter n and the geometric parameters of A. In the limit n → 1 it coincides with the entanglement entropy. Thus, it contains the same information as the Renyi entropy but its computation only involves correlation functions of chiral and anti-chiral operators. We also show that this quantity appears naturally in string theory on AdS3.
Authors:
;
Publication Date:
Grant/Contract Number:
FG02-13ER41958; SC0009924
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
Research Org:
Hebrew Univ. of Jerusalem (Israel). Racah Inst. of Physics; Univ. of Chicago, IL (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Contributing Orgs:
I-CORE Program of the Planning and Budgeting Committee
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Field Theories in Lower Dimensions; Extended Supersymmetry; AdS-CFT Correspondence; Conformal Field Models in String Theory; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
OSTI Identifier:
1393409
Alternate Identifier(s):
OSTI ID: 1393392

Giveon, Amit, and Kutasov, David. Supersymmetric Renyi entropy in CFT 2 and AdS 3. United States: N. p., Web. doi:10.1007/JHEP01(2016)042.
Giveon, Amit, & Kutasov, David. Supersymmetric Renyi entropy in CFT 2 and AdS 3. United States. doi:10.1007/JHEP01(2016)042.
Giveon, Amit, and Kutasov, David. 2016. "Supersymmetric Renyi entropy in CFT 2 and AdS 3". United States. doi:10.1007/JHEP01(2016)042. https://www.osti.gov/servlets/purl/1393409.
@article{osti_1393409,
title = {Supersymmetric Renyi entropy in CFT 2 and AdS 3},
author = {Giveon, Amit and Kutasov, David},
abstractNote = {We show that in any two dimensional conformal field theory with (2, 2) super-symmetry one can define a supersymmetric analog of the usual Renyi entropy of a spatial region A. It differs from the Renyi entropy by a universal function (which we compute) of the central charge, Renyi parameter n and the geometric parameters of A. In the limit n → 1 it coincides with the entanglement entropy. Thus, it contains the same information as the Renyi entropy but its computation only involves correlation functions of chiral and anti-chiral operators. We also show that this quantity appears naturally in string theory on AdS3.},
doi = {10.1007/JHEP01(2016)042},
journal = {Journal of High Energy Physics (Online)},
number = 1,
volume = 2016,
place = {United States},
year = {2016},
month = {1}
}