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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]
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  1. Boston Univ., MA (United States)
Publication Date:
Research Org.:
Boston Univ., MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1612334
Alternate Identifier(s):
OSTI ID: 1833185
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. doi:10.1007/jhep08(2019)138.
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Fitzpatrick, A. Liam, & Huang, Kuo-Wei. Universal lowest-twist in CFTs from holography. United States. https://doi.org/10.1007/jhep08(2019)138
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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.
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@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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https://doi.org/10.1007/jhep08(2019)138
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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

Higher-point conformal blocks and entanglement entropy in heavy states
text, January 2016

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

Virasoro conformal blocks and thermality from classical background fields
journal, November 2015

  • Fitzpatrick, A. Liam; Kaplan, Jared; Walters, Matthew T.
  • Journal of High Energy Physics, Vol. 2015, Issue 11
  • DOI: 10.1007/JHEP11(2015)200

Holographic description of 2D conformal block in semi-classical limit
journal, October 2016

  • Chen, Bin; Wu, Jie-qiang; Zhang, Jia-ju
  • Journal of High Energy Physics, Vol. 2016, Issue 10
  • DOI: 10.1007/JHEP10(2016)110

Diagnosing Chaos Using Four-Point Functions in Two-Dimensional Conformal Field Theory
journal, September 2015

Semiclassical Virasoro blocks from AdS3 gravity
journal, December 2015

  • Hijano, Eliot; Kraus, Per; Perlmutter, Eric
  • Journal of High Energy Physics, Vol. 2015, Issue 12
  • DOI: 10.1007/JHEP12(2015)077

Worldline approach to semi-classical conformal blocks
journal, July 2015

  • Hijano, Eliot; Kraus, Per; Snively, River
  • Journal of High Energy Physics, Vol. 2015, Issue 7
  • DOI: 10.1007/JHEP07(2015)131

Black holes, heavy states, phase shift and anomalous dimensions
journal, January 2019

Conformal blocks beyond the semi-classical limit
journal, May 2016

  • Fitzpatrick, A. Liam; Kaplan, Jared
  • Journal of High Energy Physics, Vol. 2016, Issue 5
  • DOI: 10.1007/JHEP05(2016)075

Effective conformal theory and the flat-space limit of AdS
journal, July 2011

  • Fitzpatrick, A. Liam; Katz, Emanuel; Poland, David
  • Journal of High Energy Physics, Vol. 2011, Issue 7
  • DOI: 10.1007/JHEP07(2011)023

Unitarity 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)032

Black holes in quasi-topological gravity
journal, August 2010

  • Myers, Robert C.; Robinson, Brandon
  • Journal of High Energy Physics, Vol. 2010, Issue 8
  • DOI: 10.1007/JHEP08(2010)067

Holographic studies of quasi-topological gravity
journal, August 2010

  • Myers, Robert C.; Paulos, Miguel F.; Sinha, Aninda
  • Journal of High Energy Physics, Vol. 2010, Issue 8
  • DOI: 10.1007/JHEP08(2010)035

Aspects of general higher-order gravities
journal, February 2017

The conformal bootstrap: Theory, numerical techniques, and applications
journal, January 2019

Stress tensors from trace anomalies in conformal field theories
journal, April 2013

𝒩 = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
journal, October 2008

Holography from Conformal Field Theory
text, January 2009

Analyticity and the Holographic S-Matrix
text, January 2011

Universality of Long-Distance AdS Physics from the CFT Bootstrap
text, January 2014

Universal Spectrum of 2d Conformal Field Theory in the Large c Limit
text, January 2014

Witten Diagrams Revisited: The AdS Geometry of Conformal Blocks
text, January 2015

Hawking from Catalan
text, January 2015

Higher-point conformal blocks and entanglement entropy in heavy states
text, January 2016

On Information Loss in AdS$_3$/CFT$_2$
preprint, January 2016

An Exact Operator That Knows Its Location
text, January 2017

Phases of scrambling in eigenstates
text, January 2019

The Black Hole Singularity in AdS/CFT
text, January 2003

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

Anti De Sitter Space And Holography
text, January 1998

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    Works referencing / citing this record:

    Probing universalities in d > 2 CFTs: from black holes to shockwaves
    journal, November 2019

    • Fitzpatrick, A. Liam; Huang, Kuo-Wei; Li, Daliang
    • Journal of High Energy Physics, Vol. 2019, Issue 11
    • DOI: 10.1007/jhep11(2019)139

    Stress-tensor commutators in conformal field theories near the lightcone
    journal, September 2019

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