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Title: Moving the CFT into the bulk with T T ¯

Abstract

Recent work by Zamolodchikov and others has uncovered a solvable irrelevant deformation of general 2D CFTs, defined by turning on the dimension 4 operator T T ¯ , the product of the left- and right-moving stress tensor. We propose that in the holographic dual, this deformation represents a geometric cutoff that removes the asymptotic region of AdS and places the QFT on a Dirichlet wall at finite radial distance r = rc in the bulk. As a quantitative check of the proposed duality, we compute the signal propagation speed, energy spectrum, and thermodynamic relations on both sides. In all cases, we obtain a precise match. We derive an exact RG flow equation for the metric dependence of the effective action of the T T ¯ deformed theory, and find that it coincides with the Hamilton-Jacobi equation that governs the radial evolution of the classical gravity action in AdS.

Authors:
 [1]; ORCiD logo [2];  [3]
+ Show Author Affiliations
  1. Princeton Univ., NJ (United States). Dept. of Physics
  2. Princeton Univ., NJ (United States). Princeton Center for Theoretical Science
  3. Princeton Univ., NJ (United States). Dept. of Physics. Princeton Center for Theoretical Science
Publication Date:
Research Org.:
Princeton Univ., NJ (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)
OSTI Identifier:
1512424
Grant/Contract Number:  
SC0016244; PHY-1620059
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: 4; 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; renormalization group

Citation Formats

McGough, Lauren, Mezei, Márk, and Verlinde, Herman. Moving the CFT into the bulk with T T ¯. United States: N. p., 2018. Web. doi:10.1007/jhep04(2018)010.
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McGough, Lauren, Mezei, Márk, & Verlinde, Herman. Moving the CFT into the bulk with T T ¯. United States. https://doi.org/10.1007/jhep04(2018)010
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McGough, Lauren, Mezei, Márk, and Verlinde, Herman. Tue . "Moving the CFT into the bulk with T T ¯". United States. https://doi.org/10.1007/jhep04(2018)010. https://www.osti.gov/servlets/purl/1512424.
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@article{osti_1512424,
title = {Moving the CFT into the bulk with T T ¯},
author = {McGough, Lauren and Mezei, Márk and Verlinde, Herman},
abstractNote = {Recent work by Zamolodchikov and others has uncovered a solvable irrelevant deformation of general 2D CFTs, defined by turning on the dimension 4 operator T T ¯ , the product of the left- and right-moving stress tensor. We propose that in the holographic dual, this deformation represents a geometric cutoff that removes the asymptotic region of AdS and places the QFT on a Dirichlet wall at finite radial distance r = rc in the bulk. As a quantitative check of the proposed duality, we compute the signal propagation speed, energy spectrum, and thermodynamic relations on both sides. In all cases, we obtain a precise match. We derive an exact RG flow equation for the metric dependence of the effective action of the T T ¯ deformed theory, and find that it coincides with the Hamilton-Jacobi equation that governs the radial evolution of the classical gravity action in AdS.},
doi = {10.1007/jhep04(2018)010},
journal = {Journal of High Energy Physics (Online)},
number = 4,
volume = 2018,
place = {United States},
year = {Tue Apr 03 00:00:00 EDT 2018},
month = {Tue Apr 03 00:00:00 EDT 2018}
}
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Journal Article:
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Publisher's Version of Record
https://doi.org/10.1007/jhep04(2018)010
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Cited by: 236 works
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Figures / Tables:

Figure 1 Figure 1: The energy levels $E_n$ at $L$ = 2$π$ and $J$ = 0 as a function of $µ$ for different values of $E$(0) = $∆_n$ + $\bar{∆}_n$ − $\frac{c}{12}$. States with $E$(0) > 0 that correspond to black holes in holographic CFTs are plotted in blue, while low-lying statesmore » are plotted in orange. For $µ$ > 0 that is the relevant regime in our study we used solid lines, while for $µ$ < 0 the spectrum is plotted with dotted lines. The levels exhibit a square root singularity at the critical value $µE$(0) = 2$π$. This indicates that, for given $µ$, the energy spectrum of the deformed CFT is bounded by $E$ < $\frac{8}{µ}$, indicated on the plot by a dashed black line.« less
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Works referenced in this record:

Black hole in three-dimensional spacetime
journal, September 1992

Operator content of two-dimensional conformally invariant theories
journal, January 1986

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
  • DOI: 10.1007/JHEP10(2016)112

Causality, analyticity and an IR obstruction to UV completion
journal, October 2006

Graviton dominance in ultra-high-energy scattering
journal, November 1987

A bound on chaos
journal, August 2016

  • Maldacena, Juan; Shenker, Stephen H.; Stanford, Douglas
  • Journal of High Energy Physics, Vol. 2016, Issue 8
  • DOI: 10.1007/JHEP08(2016)106

The Large-N Limit of Superconformal Field Theories and Supergravity
journal, January 1999

  • Maldacena, Juan
  • International Journal of Theoretical Physics, Vol. 38, Issue 4, p. 1113-1133
  • DOI: 10.1023/A:1026654312961

Gauge theory correlators from non-critical string theory
journal, May 1998

Conformal field theory, two-dimensional quantum gravity and quantization of Teichmüller space
journal, June 1990

Quantum dynamics of a massless relativistic string
journal, May 1973

AdS description of induced higher-spin gauge theory
journal, October 2013

  • Giombi, Simone; Klebanov, Igor R.; Pufu, Silviu S.
  • Journal of High Energy Physics, Vol. 2013, Issue 10
  • DOI: 10.1007/JHEP10(2013)016

Black holes and the butterfly effect
journal, March 2014

  • Shenker, Stephen H.; Stanford, Douglas
  • Journal of High Energy Physics, Vol. 2014, Issue 3
  • DOI: 10.1007/JHEP03(2014)067

Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence
journal, May 2006

On entanglement spreading in chaotic systems
journal, May 2017

Anti de Sitter space and holography
journal, January 1998

RG-flow, gravity and the cosmological constant
journal, May 2000

On the holographic renormalization group
journal, August 2000

Solving the simplest theory of quantum gravity
journal, September 2012

  • Dubovsky, Sergei; Flauger, Raphael; Gorbenko, Victor
  • Journal of High Energy Physics, Vol. 2012, Issue 9
  • DOI: 10.1007/JHEP09(2012)133

Quantum quenches to a critical point in one dimension: some further results
journal, February 2016

Localized shocks
journal, March 2015

  • Roberts, Daniel A.; Stanford, Douglas; Susskind, Leonard
  • Journal of High Energy Physics, Vol. 2015, Issue 3
  • DOI: 10.1007/JHEP03(2015)051

On space of integrable quantum field theories
journal, February 2017

A Stress Tensor for Anti-de Sitter Gravity
journal, December 1999

  • Balasubramanian, Vijay; Kraus, Per
  • Communications in Mathematical Physics, Vol. 208, Issue 2
  • DOI: 10.1007/s002200050764

Aspects of holographic entanglement entropy
journal, August 2006

Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
journal, June 1986

  • Brown, J. D.; Henneaux, Marc
  • Communications in Mathematical Physics, Vol. 104, Issue 2
  • DOI: 10.1007/BF01211590

Holographic and Wilsonian Renormalization Groups
text, January 2010

Solving the Simplest Theory of Quantum Gravity
text, January 2012

A bound on chaos
text, January 2015

Causality, Analyticity and an IR Obstruction to UV Completion
text, January 2006

Aspects of Holographic Entanglement Entropy
text, January 2006

Quantum Black Hole Evaporation
text, January 1993

Gauge Theory Correlators from Non-Critical String Theory
text, January 1998

Anti De Sitter Space And Holography
text, January 1998

A Stress Tensor for Anti-de Sitter Gravity
text, January 1999

Quantum effective action from the AdS/CFT correspondence
text, January 1999

RG-Flow, Gravity and the Cosmological Constant
text, January 1999

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    [ × clear filter / sort ]

    Works referencing / citing this record:

    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
    • DOI: 10.1007/jhep01(2019)085

    Some information theoretic aspects of de-Sitter holography
    journal, February 2020

    Boundary conditions for General Relativity in three-dimensional spacetimes, integrable systems and the KdV/mKdV hierarchies
    journal, August 2019

    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
    • DOI: 10.1007/jhep10(2018)057

    Strings on warped AdS3 via T J ¯ $$ \mathrm{T}\overline{\mathrm{J}} $$ deformations
    journal, October 2018

    De Sitter cosmology on an expanding bubble
    journal, October 2019

    • Banerjee, Souvik; Danielsson, Ulf; Dibitetto, Giuseppe
    • Journal of High Energy Physics, Vol. 2019, Issue 10
    • DOI: 10.1007/jhep10(2019)164

    Entanglement entropy and TT¯$$ T\overline{T} $$ deformations beyond antipodal points from holography
    journal, November 2019

    Holographic spacetimes as quantum circuits of path-integrations
    journal, December 2018

    $\boldsymbol {T\overline{T}}$ , $\boldsymbol {J\overline{T}}$ , $\boldsymbol{T\overline{J}}$ and string theory
    journal, August 2019

    • Chakraborty, Soumangsu; Giveon, Amit; Kutasov, David
    • Journal of Physics A: Mathematical and Theoretical, Vol. 52, Issue 38
    • DOI: 10.1088/1751-8121/ab3710

    Comments on holographic entanglement entropy in T T deformed conformal field theories
    journal, July 2019

    Chaos of QCD string from holography
    journal, August 2019

    Entanglement and Rényi entropy of multiple intervals in T T ¯ -deformed CFT and holography
    journal, November 2019

    Entanglement entropy in T T ¯ -deformed CFT
    journal, October 2018

    Phase structures and transitions of Born–Infeld black holes in a grand canonical ensemble
    journal, February 2020

    Holographic entanglement entropy in cutoff AdS
    journal, December 2018

    TT ̄deformations with N = (0,2) supersymmetry
    text, January 2019

    • Jiang, Hongliang; Sfondrini, Alessandro; Tartaglino-Mazzucchelli, Gabriele
    • American Physical Society
    • DOI: 10.7892/boris.134368

    TT ̄flows and (2, 2) supersymmetry
    text, January 2020

    • Chang, Chih-Kai; Ferko, Christian; Sethi, Savdeep
    • American Physical Society
    • DOI: 10.7892/boris.139636

    Holographic Renyi Entropy from Quantum Error Correction
    text, January 2018

    Chaos of QCD string from holography
    text, January 2019

    de Sitter Cosmology on an expanding bubble
    text, January 2019

    Composite operators in $T\bar T$-deformed free QFTs
    text, January 2020

    TTbar and Holography
    text, January 2021

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