Thermalization in the D1D5 CFT

Hampton, Shaun; Mathur, Samir D.

doi:10.1007/jhep06(2020)004

Title: Thermalization in the D1D5 CFT

Abstract

It is generally agreed that black hole formation in gravity corresponds to thermalization in the dual CFT. It is sometimes argued that if the CFT evolution shows evidence of large redshift in gravity, then we have seen black hole formation in the CFT. We argue that this is not the case: a clock falling towards the horizon increases its redshift but remains intact as a clock; thus it is not `thermalized'. Instead, thermalization should correspond to a new phase after the phase of large redshift, where the infalling object turns into fuzzballs on reaching within planck distance of the horizon. We compute simple examples of the scattering vertex in the D1D5 CFT which, after many iterations, would lead to thermalization. An initial state made of two left-moving and two right-moving excitations corresponds, in gravity, to two gravitons heading towards each other. The thermalization vertex in the CFT breaks these excitations into multiple excitations on the left and right sides; we compute the amplitudes for several of these processes. We find secular terms that grow as $t^2$ instead of oscillating with $$t$$; we conjecture that this may be a feature of processes leading to thermalization.

Authors:

Hampton, Shaun ^[1]; Mathur, Samir D. ^[1]

The Ohio State Univ., Columbus, OH (United States)

Publication Date:: Mon Jun 01 00:00:00 EDT 2020

Research Org.:: The Ohio State Univ., Columbus, OH (United States)

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

OSTI Identifier:: 1782855

Grant/Contract Number:: SC0011726

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: 2020; Journal Issue: 6; 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; Black Holes in String Theory; Conformal Field Theory; D-branes

Citation Formats


                    Hampton, Shaun, and Mathur, Samir D. Thermalization in the D1D5 CFT.  United States: N. p., 2020. 
Web.  doi:10.1007/jhep06(2020)004.

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                    Hampton, Shaun, & Mathur, Samir D. Thermalization in the D1D5 CFT.  United States.  https://doi.org/10.1007/jhep06(2020)004

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                    Hampton, Shaun, and Mathur, Samir D. Mon .  
"Thermalization in the D1D5 CFT".  United States.  https://doi.org/10.1007/jhep06(2020)004.  https://www.osti.gov/servlets/purl/1782855.

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@article{osti_1782855,

  title        = {Thermalization in the D1D5 CFT},

  author       = {Hampton, Shaun and Mathur, Samir D.},

  abstractNote = {It is generally agreed that black hole formation in gravity corresponds to thermalization in the dual CFT. It is sometimes argued that if the CFT evolution shows evidence of large redshift in gravity, then we have seen black hole formation in the CFT. We argue that this is not the case: a clock falling towards the horizon increases its redshift but remains intact as a clock; thus it is not `thermalized'. Instead, thermalization should correspond to a new phase after the phase of large redshift, where the infalling object turns into fuzzballs on reaching within planck distance of the horizon. We compute simple examples of the scattering vertex in the D1D5 CFT which, after many iterations, would lead to thermalization. An initial state made of two left-moving and two right-moving excitations corresponds, in gravity, to two gravitons heading towards each other. The thermalization vertex in the CFT breaks these excitations into multiple excitations on the left and right sides; we compute the amplitudes for several of these processes. We find secular terms that grow as $t^2$ instead of oscillating with $t$; we conjecture that this may be a feature of processes leading to thermalization.},

  doi          = {10.1007/jhep06(2020)004},

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

  number       = 6,

  volume       = 2020,

  place        = {United States},

  year         = {Mon Jun 01 00:00:00 EDT 2020},

  month        = {Mon Jun 01 00:00:00 EDT 2020}

}

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Title: Thermalization in the D1D5 CFT

Abstract

Citation Formats

Bogoliubov coefficients for the twist operator in the D1D5 CFT journal, December 2014

Six-dimensional supergravity on S3 × AdS3 and 2d conformal field theory journal, May 1999

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

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Microscopic formulation of black holes in string theory journal, November 2002

D1/D5 moduli in SCFT and gauge theory, and Hawking radiation journal, January 2000

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Effect of the twist operator in the D1D5 CFT journal, August 2014

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

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Operator mixing in deformed D1D5 CFT and the OPE on the cover journal, June 2017

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

Black Holes, Black Rings, and their Microstates book, January 2008

On information loss in AdS3/CFT2 journal, May 2016

The D1/D5 system and singular CFT journal, April 1999

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

Correlation Functions for M N / S N Orbifolds journal, May 2001

Anti de Sitter space and holography journal, January 1998

Tunneling into fuzzball states journal, June 2009

The fuzzball proposal for black holes: an elementary review journal, July 2005

Virasoro amplitude from theS N R24-orbifold sigma model journal, January 1998

Microscopic origin of the Bekenstein-Hawking entropy journal, June 1996

Excitations of D-strings, entropy and duality journal, May 1996

A spin chain for the symmetric product CFT2 journal, May 2010

AdS/CFT duality and the black hole information paradox journal, February 2002

The large N limit of superconformal field theories and supergravity conference, January 1999

U(1) charges and moduli in the D1-D5 system journal, June 1999

Proving the PP-Wave/CFT 2 Duality journal, December 2002

One-loop transition amplitudes in the D1D5 CFT journal, January 2017

D1-D5-P microstates at the cap journal, February 2013

Deforming the D1D5 CFT away from the orbifold point journal, June 2010

Comparing decay rates for black holes and D-branes journal, November 1996

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Lifting of D1-D5-P states journal, January 2019

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Full action of two deformation operators in the D1D5 CFT journal, November 2017

D-brane approach to black hole quantum mechanics journal, July 1996

Bogoliubov coefficients for the twist operator in the D1D5 CFT
journal, December 2014

Six-dimensional supergravity on S3 × AdS3 and 2d conformal field theory
journal, May 1999

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

PP-Wave/ CFT ₂ Duality
journal, November 2002

Microscopic formulation of black holes in string theory
journal, November 2002

D1/D5 moduli in SCFT and gauge theory, and Hawking radiation
journal, January 2000

Fuzzballs with internal excitations
journal, June 2007

Effect of the deformation operator in the D1D5 CFT
journal, January 2015

Effect of the twist operator in the D1D5 CFT
journal, August 2014

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

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

Operator mixing in deformed D1D5 CFT and the OPE on the cover
journal, June 2017

Hawking from Catalan
journal, May 2016

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

Black Holes, Black Rings, and their Microstates
book, January 2008

On information loss in AdS3/CFT2
journal, May 2016

The D1/D5 system and singular CFT
journal, April 1999

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

Correlation Functions for M N / S N Orbifolds
journal, May 2001

Anti de Sitter space and holography
journal, January 1998

Tunneling into fuzzball states
journal, June 2009

The fuzzball proposal for black holes: an elementary review
journal, July 2005

Virasoro amplitude from theS N R24-orbifold sigma model
journal, January 1998

Microscopic origin of the Bekenstein-Hawking entropy
journal, June 1996

Excitations of D-strings, entropy and duality
journal, May 1996

A spin chain for the symmetric product CFT2
journal, May 2010

AdS/CFT duality and the black hole information paradox
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conference, January 1999

U(1) charges and moduli in the D1-D5 system
journal, June 1999

Proving the PP-Wave/CFT ₂ Duality
journal, December 2002

One-loop transition amplitudes in the D1D5 CFT
journal, January 2017

D1-D5-P microstates at the cap
journal, February 2013

Deforming the D1D5 CFT away from the orbifold point
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Comparing decay rates for black holes and D-branes
journal, November 1996

Excitations in the deformed D1D5 CFT
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Lifting of D1-D5-P states
journal, January 2019

Gravity from CFT on SN(X) : symmetries and interactions
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Three-Point Functions for M N / S N Orbifolds¶with𝒩 = 4 Supersymmetry
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D-brane approach to black hole quantum mechanics
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