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Cutoff AdS_3 versus the TT[bar] deformation

Kraus, Per and Liu, Junyu and Marolf, Donald (2018) Cutoff AdS_3 versus the TT[bar] deformation. Journal of High Energy Physics, 2018 (7). Art. No. 27. ISSN 1126-6708. http://resolver.caltech.edu/CaltechAUTHORS:20180705-154712962

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Abstract

A recent proposal relates two dimensional holographic conformal field theories deformed by the integrable TT[bar] flow to AdS_3 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. 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 TT[bar] operator yielding corrections corresponding to loops in the bulk.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/JHEP07(2018)027DOIArticle
http://arxiv.org/abs/1801.02714arXivDiscussion Paper
ORCID:
AuthorORCID
Liu, Junyu0000-0003-1669-8039
Additional Information:© The Author(s) 2018. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Received: February 18, 2018. Revised: May 22, 2018. Accepted: June 27, 2018. Published: July 4, 2018. Article funded by SCOAP3. We thank David Berenstein, Mert Besken, Thomas Dumitrescu, Ashwin Hegde, Ying-Hsuan Lin and Mark Mezei for useful discussions. PK is supported in part by NSF grant PHY-1313986. JL acknowledges support from the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632. The work of DM was supported in part by the U.S. National Science Foundation under grant number PHY15-04541 and also by the University of California.
Group:Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
SCOAP3UNSPECIFIED
NSFPHY-1313986
Department of Energy (DOE)DE-SC0011632
NSFPHY15-04541
University of California, Santa BarbaraUNSPECIFIED
Subject Keywords:AdS-CFT Correspondence, Conformal Field Theory
Other Numbering System:
Other Numbering System NameOther Numbering System ID
CALT-TH2018-002
Record Number:CaltechAUTHORS:20180705-154712962
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20180705-154712962
Official Citation:Kraus, P., Liu, J. & Marolf, D. J. High Energ. Phys. (2018) 2018: 27. https://doi.org/10.1007/JHEP07(2018)027
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:87574
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:06 Jul 2018 15:18
Last Modified:06 Jul 2018 15:18

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