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Title: Quantum corrections to central charges and supersymmetric Casimir energy in AdS3/CFT2

Abstract

We study the Casimir energy of bulk fields in AdS3 and its relation to subleading terms in the central charge of the dual CFT2. Computing both sides of the standard CFT2 relation E = -c/12 independently we show that this relation is not necessarily satisfied at the level of individual bulk supergravity states, but in theories with sufficient supersymmetry it is restored at the level of bulk supermultiplets. Assuming only (0, 2) supersymmetry (or more), we improve the situation by relating quantum corrections to the central charge and the supersymmetric Casimir energy which in turn is related to an index. These relations adapt recent progress on the AdS5/CFT4 correspondence to AdS3/CFT2 holography. We test our formula successfully in several examples, including the (0, 4) MSW theory describing classes of 4D black holes and the large (4, 4) theory that is interesting for higher spin holography. We also make predictions for the subleading central charges in several recently proposed (2, 2) dualities where the CFT2 is not yet well-understood.

Authors:
 [1];  [2]; ORCiD logo [2];  [3]
  1. Uppsala Univ. (Sweden)
  2. Univ. of Michigan, Ann Arbor, MI (United States)
  3. Univ. of Amsterdam (Netherlands); Univ. of Utrecht (Netherlands)
Publication Date:
Research Org.:
Univ. of Michigan, Ann Arbor, MI (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); Dutch Ministry of Education, Culture and Science (OCW)
OSTI Identifier:
1649983
Alternate Identifier(s):
OSTI ID: 1610963
Grant/Contract Number:  
SC0007859
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: 2019; Journal Issue: 7; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AdS-CFT Correspondence; Anomalies in Field and String Theories; 1/N Expansion

Citation Formats

Ardehali, Arash Arabi, Larsen, Finn, Liu, James T., and Szepietowski, Phillip. Quantum corrections to central charges and supersymmetric Casimir energy in AdS3/CFT2. United States: N. p., 2019. Web. https://doi.org/10.1007/jhep07(2019)071.
Ardehali, Arash Arabi, Larsen, Finn, Liu, James T., & Szepietowski, Phillip. Quantum corrections to central charges and supersymmetric Casimir energy in AdS3/CFT2. United States. https://doi.org/10.1007/jhep07(2019)071
Ardehali, Arash Arabi, Larsen, Finn, Liu, James T., and Szepietowski, Phillip. Mon . "Quantum corrections to central charges and supersymmetric Casimir energy in AdS3/CFT2". United States. https://doi.org/10.1007/jhep07(2019)071. https://www.osti.gov/servlets/purl/1649983.
@article{osti_1649983,
title = {Quantum corrections to central charges and supersymmetric Casimir energy in AdS3/CFT2},
author = {Ardehali, Arash Arabi and Larsen, Finn and Liu, James T. and Szepietowski, Phillip},
abstractNote = {We study the Casimir energy of bulk fields in AdS3 and its relation to subleading terms in the central charge of the dual CFT2. Computing both sides of the standard CFT2 relation E = -c/12 independently we show that this relation is not necessarily satisfied at the level of individual bulk supergravity states, but in theories with sufficient supersymmetry it is restored at the level of bulk supermultiplets. Assuming only (0, 2) supersymmetry (or more), we improve the situation by relating quantum corrections to the central charge and the supersymmetric Casimir energy which in turn is related to an index. These relations adapt recent progress on the AdS5/CFT4 correspondence to AdS3/CFT2 holography. We test our formula successfully in several examples, including the (0, 4) MSW theory describing classes of 4D black holes and the large (4, 4) theory that is interesting for higher spin holography. We also make predictions for the subleading central charges in several recently proposed (2, 2) dualities where the CFT2 is not yet well-understood.},
doi = {10.1007/jhep07(2019)071},
journal = {Journal of High Energy Physics (Online)},
number = 7,
volume = 2019,
place = {United States},
year = {2019},
month = {7}
}

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