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Title: Cutoff AdS3 versus the $$ T\overline{T} $$ deformation

Abstract

A recent proposal relates two dimensional holographic conformal field theories deformed by the integrable $$ T\overline{T} $$ flow to AdS3 with a finite radial cutoff. We investigate this proposal by studying perturbative correlation functions on the two sides. For low point correlators of the stress tensor, we successfully match the deformed CFT results at large central charge to bulk results obtained in classical pure gravity. Furthermore the deformed CFT also provides definite predictions for loop corrections in the bulk. We then include matter fields in the bulk. To reproduce the classical bulk two-point function of a scalar operator we show that the deformed CFT needs to be augmented with double trace scalar operators, with the $$ T\overline{T} $$ operator yielding corrections corresponding to loops in the bulk.

Authors:
 [1];  [2];  [3]
  1. Univ. of California, Los Angeles, CA (United States). Mani L. Bhaumik Inst. for Theoretical Physics
  2. California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics
  3. Univ. of California, Santa Barbara, CA (United States). Dept. of Physics
Publication Date:
Research Org.:
California Institute of Technology (CalTech), Pasadena, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1501461
Grant/Contract Number:  
SC0011632
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: 2018; Journal Issue: 7; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdS-CFT Correspondence; Conformal Field Theory

Citation Formats

Kraus, Per, Liu, Junyu, and Marolf, Donald. Cutoff AdS3 versus the $ T\overline{T} $ deformation. United States: N. p., 2018. Web. doi:10.1007/jhep07(2018)027.
Kraus, Per, Liu, Junyu, & Marolf, Donald. Cutoff AdS3 versus the $ T\overline{T} $ deformation. United States. https://doi.org/10.1007/jhep07(2018)027
Kraus, Per, Liu, Junyu, and Marolf, Donald. Wed . "Cutoff AdS3 versus the $ T\overline{T} $ deformation". United States. https://doi.org/10.1007/jhep07(2018)027. https://www.osti.gov/servlets/purl/1501461.
@article{osti_1501461,
title = {Cutoff AdS3 versus the $ T\overline{T} $ deformation},
author = {Kraus, Per and Liu, Junyu and Marolf, Donald},
abstractNote = {A recent proposal relates two dimensional holographic conformal field theories deformed by the integrable $ T\overline{T} $ flow to AdS3 with a finite radial cutoff. We investigate this proposal by studying perturbative correlation functions on the two sides. For low point correlators of the stress tensor, we successfully match the deformed CFT results at large central charge to bulk results obtained in classical pure gravity. Furthermore the deformed CFT also provides definite predictions for loop corrections in the bulk. We then include matter fields in the bulk. To reproduce the classical bulk two-point function of a scalar operator we show that the deformed CFT needs to be augmented with double trace scalar operators, with the $ T\overline{T} $ operator yielding corrections corresponding to loops in the bulk.},
doi = {10.1007/jhep07(2018)027},
journal = {Journal of High Energy Physics (Online)},
number = 7,
volume = 2018,
place = {United States},
year = {2018},
month = {7}
}

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