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Title: Universal lowest-twist in CFTs from holography

Abstract

We probe the conformal block structure of a scalar four-point function in d ≥ 2 conformal field theories by including higher-order derivative terms in a bulk gravitational action. We consider a heavy-light four-point function as the boundary correlator at large central charge. Such a four-point function can be computed, on the gravity side, as a two-point function of the light operator in a black hole geometry created by the heavy operator. We consider analytically solving the corresponding scalar field equation in a near-boundary expansion and find that the multi-stress tensor conformal blocks are insensitive to the horizon boundary condition. The main result of this paper is that the lowest-twist operator product expansion (OPE) coefficients of the multi-stress tensor conformal blocks are universal: they are fixed by the dimension of the light operators and the ratio between the dimension of the heavy operator and the central charge CT. Neither supersymmetry nor unitary is assumed. Higher-twist coefficients, on the other hand, generally are not protected. A recursion relation allows us to efficiently compute universal lowest-twist coefficients. The universality result hints at the potential existence of a higher-dimensional Virasoro-like symmetry near the lightcone. While we largely focus on the planar black hole limitmore » in this paper, we include some preliminary analysis of the spherical black hole case in an appendix.« less

Authors:
 [1];  [1]
  1. Boston Univ., MA (United States)
Publication Date:
Research Org.:
Boston Univ., MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1612334
Grant/Contract Number:  
SC0015845
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: 2019; Journal Issue: 8; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 79 ASTRONOMY AND ASTROPHYSICS; physics; AdS-CFT correspondence; Conformal Field Theory; field theories in higher dimensions

Citation Formats

Fitzpatrick, A. Liam, and Huang, Kuo-Wei. Universal lowest-twist in CFTs from holography. United States: N. p., 2019. Web. https://doi.org/10.1007/jhep08(2019)138.
Fitzpatrick, A. Liam, & Huang, Kuo-Wei. Universal lowest-twist in CFTs from holography. United States. https://doi.org/10.1007/jhep08(2019)138
Fitzpatrick, A. Liam, and Huang, Kuo-Wei. Mon . "Universal lowest-twist in CFTs from holography". United States. https://doi.org/10.1007/jhep08(2019)138. https://www.osti.gov/servlets/purl/1612334.
@article{osti_1612334,
title = {Universal lowest-twist in CFTs from holography},
author = {Fitzpatrick, A. Liam and Huang, Kuo-Wei},
abstractNote = {We probe the conformal block structure of a scalar four-point function in d ≥ 2 conformal field theories by including higher-order derivative terms in a bulk gravitational action. We consider a heavy-light four-point function as the boundary correlator at large central charge. Such a four-point function can be computed, on the gravity side, as a two-point function of the light operator in a black hole geometry created by the heavy operator. We consider analytically solving the corresponding scalar field equation in a near-boundary expansion and find that the multi-stress tensor conformal blocks are insensitive to the horizon boundary condition. The main result of this paper is that the lowest-twist operator product expansion (OPE) coefficients of the multi-stress tensor conformal blocks are universal: they are fixed by the dimension of the light operators and the ratio between the dimension of the heavy operator and the central charge CT. Neither supersymmetry nor unitary is assumed. Higher-twist coefficients, on the other hand, generally are not protected. A recursion relation allows us to efficiently compute universal lowest-twist coefficients. The universality result hints at the potential existence of a higher-dimensional Virasoro-like symmetry near the lightcone. While we largely focus on the planar black hole limit in this paper, we include some preliminary analysis of the spherical black hole case in an appendix.},
doi = {10.1007/jhep08(2019)138},
journal = {Journal of High Energy Physics (Online)},
number = 8,
volume = 2019,
place = {United States},
year = {2019},
month = {8}
}

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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


Universal spectrum of 2d conformal field theory in the large c limit
journal, September 2014

  • Hartman, Thomas; Keller, Christoph A.; Stoica, Bogdan
  • Journal of High Energy Physics, Vol. 2014, Issue 9
  • DOI: 10.1007/JHEP09(2014)118

Eternal black holes in anti-de Sitter
journal, April 2003


Universality of long-distance AdS physics from the CFT bootstrap
journal, August 2014

  • Fitzpatrick, A. Liam; Kaplan, Jared; Walters, Matthew T.
  • Journal of High Energy Physics, Vol. 2014, Issue 8
  • DOI: 10.1007/JHEP08(2014)145

The Black Hole Singularity in AdS/CFT
journal, February 2004


Hawking from Catalan
journal, May 2016

  • Fitzpatrick, A. Liam; Kaplan, Jared; Walters, Matthew T.
  • Journal of High Energy Physics, Vol. 2016, Issue 5
  • DOI: 10.1007/JHEP05(2016)069

Higher-point conformal blocks and entanglement entropy in heavy states
journal, May 2016

  • Banerjee, Pinaki; Datta, Shouvik; Sinha, Ritam
  • Journal of High Energy Physics, Vol. 2016, Issue 5
  • DOI: 10.1007/JHEP05(2016)127

An exact operator that knows its location
journal, February 2018

  • Anand, N.; Chen, Hongbin; Fitzpatrick, A. Liam
  • Journal of High Energy Physics, Vol. 2018, Issue 2
  • DOI: 10.1007/JHEP02(2018)012

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


Geodesic diagrams, gravitational interactions & OPE structures
journal, June 2017

  • Castro, Alejandra; Llabrés, Eva; Rejon-Barrera, Fernando
  • Journal of High Energy Physics, Vol. 2017, Issue 6
  • DOI: 10.1007/JHEP06(2017)099

On information loss in AdS3/CFT2
journal, May 2016

  • Fitzpatrick, A. Liam; Kaplan, Jared; Li, Daliang
  • Journal of High Energy Physics, Vol. 2016, Issue 5
  • DOI: 10.1007/JHEP05(2016)109

Black hole collapse in the 1/c expansion
journal, July 2016

  • Anous, Tarek; Hartman, Thomas; Rovai, Antonin
  • Journal of High Energy Physics, Vol. 2016, Issue 7
  • DOI: 10.1007/JHEP07(2016)123

Holographic entanglement entropy from 2d CFT: heavy states and local quenches
journal, February 2015

  • Asplund, Curtis T.; Bernamonti, Alice; Galli, Federico
  • Journal of High Energy Physics, Vol. 2015, Issue 2
  • DOI: 10.1007/JHEP02(2015)171

The AdS3 propagator and the fate of locality
journal, April 2018

  • Chen, Hongbin; Fitzpatrick, A. Liam; Kaplan, Jared
  • Journal of High Energy Physics, Vol. 2018, Issue 4
  • DOI: 10.1007/JHEP04(2018)075

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


Anti de Sitter space and holography
journal, January 1998


Spinning geodesic Witten diagrams
journal, November 2017

  • Dyer, Ethan; Freedman, Daniel Z.; Sully, James
  • Journal of High Energy Physics, Vol. 2017, Issue 11
  • DOI: 10.1007/JHEP11(2017)060

Superconformal models for graphene and boundary central charges
journal, September 2018

  • Herzog, Christopher P.; Huang, Kuo-Wei; Shamir, Itamar
  • Journal of High Energy Physics, Vol. 2018, Issue 9
  • DOI: 10.1007/JHEP09(2018)161

Implications of Conformal Invariance in Field Theories for General Dimensions
journal, May 1994


Holographic entanglement entropy for a large class of states in 2D CFT
journal, September 2016


Analyticity and the holographic S-matrix
journal, October 2012

  • Fitzpatrick, A. Liam; Kaplan, Jared
  • Journal of High Energy Physics, Vol. 2012, Issue 10
  • DOI: 10.1007/JHEP10(2012)127

A new cubic theory of gravity in five dimensions: black hole, Birkhoff's theorem and C -function
journal, October 2010


Weyl anomaly induced stress tensors in general manifolds
journal, February 2014


Witten diagrams revisited: the AdS geometry of conformal blocks
journal, January 2016

  • Hijano, Eliot; Kraus, Per; Perlmutter, Eric
  • Journal of High Energy Physics, Vol. 2016, Issue 1
  • DOI: 10.1007/JHEP01(2016)146

Asymptotically anti-de Sitter spaces
journal, September 1985

  • Henneaux, Marc; Teitelboim, Claudio
  • Communications in Mathematical Physics, Vol. 98, Issue 3
  • DOI: 10.1007/BF01205790

Comparison between various notions of conserved charges in asymptotically AdS spacetimes
journal, June 2005

  • Hollands, Stefan; Ishibashi, Akihiro; Marolf, Donald
  • Classical and Quantum Gravity, Vol. 22, Issue 14
  • DOI: 10.1088/0264-9381/22/14/004

Boundary conformal field theory and a boundary central charge
journal, October 2017

  • Herzog, Christopher P.; Huang, Kuo-Wei
  • Journal of High Energy Physics, Vol. 2017, Issue 10
  • DOI: 10.1007/JHEP10(2017)189

AdS field theory from conformal field theory
journal, February 2013

  • Fitzpatrick, A. Liam; Kaplan, Jared
  • Journal of High Energy Physics, Vol. 2013, Issue 2
  • DOI: 10.1007/JHEP02(2013)054

On the stress tensor of conformal field theories in higher dimensions
journal, March 1989


Phases of scrambling in eigenstates
journal, January 2019


A numerical approach to Virasoro blocks and the information paradox
journal, September 2017

  • Chen, Hongbin; Hussong, Charles; Kaplan, Jared
  • Journal of High Energy Physics, Vol. 2017, Issue 9
  • DOI: 10.1007/JHEP09(2017)102

Conformal four point functions and the operator product expansion
journal, April 2001


Conformal partial waves and the operator product expansion
journal, February 2004


Holography from conformal field theory
journal, October 2009


Black holes, shock waves, and causality in the AdS/CFT correspondence
journal, February 1999


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