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:
-
- Univ. of California, Los Angeles, CA (United States). Mani L. Bhaumik Inst. for Theoretical Physics
- California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics
- Univ. of California, Santa Barbara, CA (United States). Dept. of Physics
- Publication Date:
- Research Org.:
- California Inst. of Technology, 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. doi: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. doi: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}
}
Web of Science
Works referenced in this record:
CFT dual of the AdS Dirichlet problem: fluid/gravity on cut-off surfaces
journal, December 2011
- Brattan, Daniel; Camps, Joan; Loganayagam, R.
- Journal of High Energy Physics, Vol. 2011, Issue 12
Holographic and Wilsonian renormalization groups
journal, June 2011
- Heemskerk, Idse; Polchinski, Joseph
- Journal of High Energy Physics, Vol. 2011, Issue 6
T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ -deformed 2D quantum field theories
journal, October 2016
- Cavaglià, Andrea; Negro, Stefano; Szécsényi, István M.
- Journal of High Energy Physics, Vol. 2016, Issue 10
The effective theory of long strings
journal, May 2013
- Aharony, Ofer; Komargodski, Zohar
- Journal of High Energy Physics, Vol. 2013, Issue 5
Temperature, energy, and heat capacity of asymptotically anti–de Sitter black holes
journal, November 1994
- Brown, J. D.; Creighton, J.; Mann, R. B.
- Physical Review D, Vol. 50, Issue 10
T T
¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ and LST
journal, July 2017
- Giveon, Amit; Itzhaki, Nissan; Kutasov, David
- Journal of High Energy Physics, Vol. 2017, Issue 7
On space of integrable quantum field theories
journal, February 2017
- Smirnov, F. A.; Zamolodchikov, A. B.
- Nuclear Physics B, Vol. 915
A Stress Tensor for Anti-de Sitter Gravity
journal, December 1999
- Balasubramanian, Vijay; Kraus, Per
- Communications in Mathematical Physics, Vol. 208, Issue 2
Causality and the AdS Dirichlet problem
journal, April 2012
- Marolf, Donald; Rangamani, Mukund
- Journal of High Energy Physics, Vol. 2012, Issue 4
Spacetime and the Holographic Renormalization Group
journal, November 1999
- Balasubramanian, Vijay; Kraus, Per
- Physical Review Letters, Vol. 83, Issue 18
T T ¯ $$ T\overline{T} $$ -deformations, AdS/CFT and correlation functions
journal, February 2018
- Giribet, Gaston
- Journal of High Energy Physics, Vol. 2018, Issue 2
Background independent holographic dual to T T
¯ $$ T\overline{T} $$ deformed CFT with large central charge in 2 dimensions
journal, October 2017
- Shyam, Vasudev
- Journal of High Energy Physics, Vol. 2017, Issue 10
Asymptotic fragility, near AdS2 holography and T T
¯ $$ T\overline{T} $$
journal, September 2017
- Dubovsky, Sergei; Gorbenko, Victor; Mirbabayi, Mehrdad
- Journal of High Energy Physics, Vol. 2017, Issue 9
Moving the CFT into the bulk with T T ¯ $$ T\overline{T} $$
journal, April 2018
- McGough, Lauren; Mezei, Márk; Verlinde, Herman
- Journal of High Energy Physics, Vol. 2018, Issue 4
Quasilocal energy and conserved charges derived from the gravitational action
journal, February 1993
- Brown, J. David; York, James W.
- Physical Review D, Vol. 47, Issue 4
On the holographic renormalization group
journal, August 2000
- Boer, Jan de; Verlinde, Erik; Verlinde, Herman
- Journal of High Energy Physics, Vol. 2000, Issue 08
Asymptotic symmetries from finite boxes
journal, December 2015
- Andrade, Tomás; Marolf, Donald
- Classical and Quantum Gravity, Vol. 33, Issue 1
Works referencing / citing this record:
Holographic entanglement entropy in cutoff AdS
journal, December 2018
- Park, Chanyong
- International Journal of Modern Physics A, Vol. 33, Issue 36
Chaos of QCD string from holography
journal, August 2019
- Akutagawa, Tetsuya; Hashimoto, Koji; Murata, Keiju
- Physical Review D, Vol. 100, Issue 4
Holographic entanglement entropy in cutoff AdS
journal, December 2018
- Park, Chanyong
- International Journal of Modern Physics A, Vol. 33, Issue 36
Modular covariance and uniqueness of J T ¯ $$ J\overline{T} $$ deformed CFTs
journal, January 2019
- Aharony, Ofer; Datta, Shouvik; Giveon, Amit
- Journal of High Energy Physics, Vol. 2019, Issue 1
Modular invariance and uniqueness of T T ¯ $$ T\overline{T} $$ deformed CFT
journal, January 2019
- Aharony, Ofer; Datta, Shouvik; Giveon, Amit
- Journal of High Energy Physics, Vol. 2019, Issue 1
The T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ perturbation and its geometric interpretation
journal, February 2019
- Conti, Riccardo; Negro, Stefano; Tateo, Roberto
- Journal of High Energy Physics, Vol. 2019, Issue 2
Holography at finite cutoff with a T2 deformation
journal, March 2019
- Hartman, Thomas; Kruthoff, Jorrit; Shaghoulian, Edgar
- Journal of High Energy Physics, Vol. 2019, Issue 3
Holographic integration of T T ¯ $$ T\overline{T} $$ & J T ¯ $$ J\overline{T} $$ via O(d, d)
journal, March 2019
- Araujo, T.; Colgáin, E. Ó; Sakatani, Y.
- Journal of High Energy Physics, Vol. 2019, Issue 3
Sphere partition functions & cut-off AdS
journal, May 2019
- Caputa, Pawel; Datta, Shouvik; Shyam, Vasudev
- Journal of High Energy Physics, Vol. 2019, Issue 5
On T T ¯ $$ T\overline{T} $$ deformations and supersymmetry
journal, June 2019
- Baggio, Marco; Sfondrini, Alessandro; Tartaglino-Mazzucchelli, Gabriele
- Journal of High Energy Physics, Vol. 2019, Issue 6
T T ¯ $$ T\overline{T} $$ deformed partition functions
journal, August 2018
- Datta, Shouvik; Jiang, Yunfeng
- Journal of High Energy Physics, Vol. 2018, Issue 8
Boundary conditions for General Relativity in three-dimensional spacetimes, integrable systems and the KdV/mKdV hierarchies
journal, August 2019
- Ojeda, Emilio; Pérez, Alfredo
- Journal of High Energy Physics, Vol. 2019, Issue 8
J T ¯ $$ J\overline{T} $$ deformed CFT2 and string theory
journal, October 2018
- Chakraborty, Soumangsu; Giveon, Amit; Kutasov, David
- Journal of High Energy Physics, Vol. 2018, Issue 10
Strings on warped AdS3 via T J ¯ $$ \mathrm{T}\overline{\mathrm{J}} $$ deformations
journal, October 2018
- Apolo, Luis; Song, Wei
- Journal of High Energy Physics, Vol. 2018, Issue 10
The T T ¯ $$ T\overline{T} $$ deformation of quantum field theory as random geometry
journal, October 2018
- Cardy, John
- Journal of High Energy Physics, Vol. 2018, Issue 10
Generalised Born-Infeld models, Lax operators and the T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ perturbation
journal, November 2018
- Conti, Riccardo; Iannella, Leonardo; Negro, Stefano
- Journal of High Energy Physics, Vol. 2018, Issue 11
Conserved currents and T$$ \overline{\mathrm{T}} $$s irrelevant deformations of 2D integrable field theories
journal, November 2019
- Conti, Riccardo; Negro, Stefano; Tateo, Roberto
- Journal of High Energy Physics, Vol. 2019, Issue 11
Entanglement entropy and TT¯$$ T\overline{T} $$ deformations beyond antipodal points from holography
journal, November 2019
- Grieninger, Sebastian
- Journal of High Energy Physics, Vol. 2019, Issue 11
On correlation functions in $J\bar{T}$ -deformed CFTs
journal, April 2019
- Guica, Monica
- Journal of Physics A: Mathematical and Theoretical, Vol. 52, Issue 18
$\boldsymbol {T\overline{T}}$ , $\boldsymbol {J\overline{T}}$ , $\boldsymbol{T\overline{J}}$ and string theory
journal, August 2019
- Chakraborty, Soumangsu; Giveon, Amit; Kutasov, David
- Journal of Physics A: Mathematical and Theoretical, Vol. 52, Issue 38
T T ¯ deformations with N = ( 0 , 2 ) supersymmetry
journal, August 2019
- Jiang, Hongliang; Sfondrini, Alessandro; Tartaglino-Mazzucchelli, Gabriele
- Physical Review D, Vol. 100, Issue 4
Entanglement and Rényi entropy of multiple intervals in -deformed CFT and holography
journal, November 2019
- Jeong, Hyun-Sik; Kim, Keun-Young; Nishida, Mitsuhiro
- Physical Review D, Vol. 100, Issue 10
Entanglement entropy in -deformed CFT
journal, October 2018
- Chen, Bin; Chen, Lin; Hao, Peng-xiang
- Physical Review D, Vol. 98, Issue 8
KdV charges in TTbar theories and new models with super-Hagedorn behavior
journal, January 2019
- Le Floch, Bruno; Mezei, Mark
- SciPost Physics, Vol. 7, Issue 4