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:

Kraus, Per ^[1]; Liu, Junyu ^[2]; Marolf, Donald ^[3]

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+ Show Author Affiliations

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:

2018-07-04

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