Probing universalities in d > 2 CFTs: from black holes to shockwaves

Fitzpatrick, A. Liam; Huang, Kuo-Wei; Li, Daliang

doi:10.1007/jhep11(2019)139

Title: Probing universalities in d > 2 CFTs: from black holes to shockwaves

Abstract

Gravitational shockwaves are insensitive to higher-curvature corrections in the action. Recent work found that the OPE coefficients of lowest-twist multi-stress-tensor operators, computed holographically in a planar black hole background, are insensitive as well. In this paper, we analyze the relation between these two limits. We explicitly evaluate the two-point function on a shockwave background to all orders in a large central charge expansion. In the geodesic limit, we find that the ANEC exponentiates in the multi-stress-tensor sector. To compare with the black hole limit, we obtain a recursion relation for the lowest-twist products of two stress tensors in a spherical black hole background, letting us efficiently compute their OPE coefficients and prove their insensitivity to higher curvature terms. After resumming the lowest-twist stress-tensors and analytically continuing their contributions to the Regge limit, we find a perfect agreement with the shockwave computation. We also discuss the role of double-trace operators, global degenerate states, and multi-stress-tensor conformal blocks. These holographic results suggest the existence of a larger universal structure in higher-dimensional CFTs.

Authors:

Fitzpatrick, A. Liam ^[1]; Huang, Kuo-Wei ^[1]; Li, Daliang ^[2]

Boston Univ., MA (United States)
Harvard Univ., Cambridge, MA (United States)

Publication Date:: Mon Nov 25 00:00:00 EST 2019

Research Org.:: Boston Univ., MA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1833184

Alternate Identifier(s):: OSTI ID: 1802772

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: 11; Journal ID: ISSN 1029-8479

Publisher:: Springer Nature

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AdS-CFT Correspondence; Black Holes; Conformal Field Theory; Physics

Citation Formats


                    Fitzpatrick, A. Liam, Huang, Kuo-Wei, and Li, Daliang. Probing universalities in d > 2 CFTs: from black holes to shockwaves.  United States: N. p., 2019. 
Web.  doi:10.1007/jhep11(2019)139.

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                    Fitzpatrick, A. Liam, Huang, Kuo-Wei, & Li, Daliang. Probing universalities in d > 2 CFTs: from black holes to shockwaves.  United States.  https://doi.org/10.1007/jhep11(2019)139

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                    Fitzpatrick, A. Liam, Huang, Kuo-Wei, and Li, Daliang. Mon .  
"Probing universalities in d > 2 CFTs: from black holes to shockwaves".  United States.  https://doi.org/10.1007/jhep11(2019)139.  https://www.osti.gov/servlets/purl/1833184.

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@article{osti_1833184,

  title        = {Probing universalities in d > 2 CFTs: from black holes to shockwaves},

  author       = {Fitzpatrick, A. Liam and Huang, Kuo-Wei and Li, Daliang},

  abstractNote = {Gravitational shockwaves are insensitive to higher-curvature corrections in the action. Recent work found that the OPE coefficients of lowest-twist multi-stress-tensor operators, computed holographically in a planar black hole background, are insensitive as well. In this paper, we analyze the relation between these two limits. We explicitly evaluate the two-point function on a shockwave background to all orders in a large central charge expansion. In the geodesic limit, we find that the ANEC exponentiates in the multi-stress-tensor sector. To compare with the black hole limit, we obtain a recursion relation for the lowest-twist products of two stress tensors in a spherical black hole background, letting us efficiently compute their OPE coefficients and prove their insensitivity to higher curvature terms. After resumming the lowest-twist stress-tensors and analytically continuing their contributions to the Regge limit, we find a perfect agreement with the shockwave computation. We also discuss the role of double-trace operators, global degenerate states, and multi-stress-tensor conformal blocks. These holographic results suggest the existence of a larger universal structure in higher-dimensional CFTs.},

  doi          = {10.1007/jhep11(2019)139},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 11,

  volume       = 2019,

  place        = {United States},

  year         = {Mon Nov 25 00:00:00 EST 2019},

  month        = {Mon Nov 25 00:00:00 EST 2019}

}

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Title: Probing universalities in d > 2 CFTs: from black holes to shockwaves

Abstract

Citation Formats

Spacetime singularities in string theory journal, January 1990

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

Shock-wave geometry with nonvanishing cosmological constant journal, February 1993

Conformal Regge theory text, January 2012

On gravitational shock waves in curved spacetimes journal, February 1995

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

Universal lowest-twist in CFTs from holography journal, August 2019

Conformal Regge theory journal, December 2012

Black holes and conformal Regge bootstrap journal, October 2019

Holography from Conformal Field Theory text, January 2009

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

Holographic OPE coefficients from AdS black holes with matters journal, September 2019

Conformal Bootstrap in the Regge Limit text, January 2017

On the gravitational field of a massless particle journal, January 1971

Bulk phase shift, CFT Regge limit and Einstein gravity journal, June 2018

Causality constraints on corrections to the graviton three-point coupling journal, February 2016

Eikonal approximation in AdS/CFT: Conformal partial waves and finite N four-point functions journal, April 2007

Eikonal methods in AdS/CFT: BFKL Pomeron at weak coupling journal, June 2008

Light-ray operators in conformal field theory journal, November 2018

Einstein gravity 3-point functions from conformal field theory text, January 2016

Eikonal Approximation in AdS/CFT: Conformal Partial Waves and Finite N Four-Point Functions text, January 2006

Shockwaves from the operator product expansion journal, March 2019

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

Eikonal Approximation in AdS/CFT: From Shock Waves to Four-Point Functions text, January 2006

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

Conformal collider physics: energy and charge correlations journal, May 2008

A bound on massive higher spin particles journal, April 2019

Holography from conformal field theory journal, October 2009

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

Einstein gravity 3-point functions from conformal field theory journal, December 2017

Virasoro Conformal Blocks and Thermality from Classical Background Fields text, January 2015

Light-ray operators in conformal field theory text, January 2018

Effective Conformal Theory and the Flat-Space Limit of AdS text, January 2010

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

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

Eikonal approximation in AdS/CFT: from shock waves to four-point functions journal, August 2007

Creating a (Quantum?) Constraint, in Pre Planckian Space-Time Early Universe via the Einstein Cosmological Constant in a One to One and Onto Comparison between Two Action Integrals journal, January 2017

Shockwaves from the Operator Product Expansion preprint, January 2017

On information loss in AdS3/CFT2 journal, May 2016

Universal Lowest-Twist in CFTs from Holography text, January 2019

The role of leading twist operators in the Regge and Lorentzian OPE limits journal, April 2014

Subleading eikonal, AdS/CFT and double stress tensors journal, October 2019

Bulk Phase Shift, CFT Regge Limit and Einstein Gravity text, January 2017

Conformal bootstrap in the Regge limit journal, December 2017

Nonperturbative computation of the Weyl anomaly for a class of nontrivial backgrounds journal, March 1989

Eikonal approximation in AdS/CFT: resumming the gravitational loop expansion journal, September 2007

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

Einstein gravity from ANEC correlators journal, August 2019

Asymptotically anti-de Sitter spaces journal, September 1985

Light-ray operators and the BMS algebra journal, December 2018

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

Beyond $a=c$: Gravitational Couplings to Matter and the Stress Tensor OPE text, January 2017

Beyond a = c : gravitational couplings to matter and the stress tensor OPE journal, July 2018

Bulk Phase Shift, CFT Regge Limit and Einstein Gravity text, January 2017

On Gravitational Shock Waves in Curved Spacetimes text, January 1994

Spacetime singularities in string theory
journal, January 1990

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

Shock-wave geometry with nonvanishing cosmological constant
journal, February 1993

Conformal Regge theory
text, January 2012

On gravitational shock waves in curved spacetimes
journal, February 1995

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

Universal lowest-twist in CFTs from holography
journal, August 2019

Conformal Regge theory
journal, December 2012

Black holes and conformal Regge bootstrap
journal, October 2019

Holography from Conformal Field Theory
text, January 2009

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

Holographic OPE coefficients from AdS black holes with matters
journal, September 2019

Conformal Bootstrap in the Regge Limit
text, January 2017

On the gravitational field of a massless particle
journal, January 1971

Bulk phase shift, CFT Regge limit and Einstein gravity
journal, June 2018

Causality constraints on corrections to the graviton three-point coupling
journal, February 2016

Eikonal approximation in AdS/CFT: Conformal partial waves and finite N four-point functions
journal, April 2007

Eikonal methods in AdS/CFT: BFKL Pomeron at weak coupling
journal, June 2008

Light-ray operators in conformal field theory
journal, November 2018

Einstein gravity 3-point functions from conformal field theory
text, January 2016

Eikonal Approximation in AdS/CFT: Conformal Partial Waves and Finite N Four-Point Functions
text, January 2006

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journal, March 2019

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journal, June 2005

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text, January 2006

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text, January 2014

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journal, May 2008

A bound on massive higher spin particles
journal, April 2019

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journal, October 2009

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

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journal, December 2017

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text, January 2015

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text, January 2018

Effective Conformal Theory and the Flat-Space Limit of AdS
text, January 2010

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journal, September 2015

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journal, August 2007

Creating a (Quantum?) Constraint, in Pre Planckian Space-Time Early Universe via the Einstein Cosmological Constant in a One to One and Onto Comparison between Two Action Integrals
journal, January 2017

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preprint, January 2017

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journal, May 2016

Universal Lowest-Twist in CFTs from Holography
text, January 2019

The role of leading twist operators in the Regge and Lorentzian OPE limits
journal, April 2014

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journal, October 2019

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text, January 2017

Conformal bootstrap in the Regge limit
journal, December 2017

Nonperturbative computation of the Weyl anomaly for a class of nontrivial backgrounds
journal, March 1989

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journal, September 2007

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journal, July 2011

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journal, August 2019

Asymptotically anti-de Sitter spaces
journal, September 1985

Light-ray operators and the BMS algebra
journal, December 2018

Conformal four point functions and the operator product expansion
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Beyond $a=c$: Gravitational Couplings to Matter and the Stress Tensor OPE
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Bulk Phase Shift, CFT Regge Limit and Einstein Gravity
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On Gravitational Shock Waves in Curved Spacetimes
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