One-loop transition amplitudes in the D1D5 CFT

Carson, Zaq; Hampton, Shaun; Mathur, Samir D.

doi:10.1007/JHEP01(2017)006

Title: One-loop transition amplitudes in the D1D5 CFT

Abstract

We consider the issue of thermalization in the D1D5 CFT. Thermalization is expected to correspond to the formation of a black hole in the dual gravity theory. We start from the orbifold point, where the theory is essentially free, and does not thermalize. In earlier work it was noted that there was no clear thermalization effect when the theory was deformed of the orbifold point to first order in the relevant twist perturbation. In this paper we consider the deformation to second order in the twist, where we do find effects that can cause thermalization of an initial perturbation. We consider a 1-loop process where two untwisted copies of the CFT are twisted to one copy and then again untwisted to two copies. We start with a single oscillator excitation on the initial CFT, and compute the effect of the two twists on this state. We find simple approximate expressions for the Bogoliubov coeffcients and the behavior of the single oscillator excitation in the continuum limit, where the mode numbers involved are taken to be much larger than unity. We also prove a number of useful relationships valid for processes with an arbitrary number of twist insertions.

Authors:

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

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

Publication Date:: Mon Jan 02 00:00:00 EST 2017

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

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

OSTI Identifier:: 1424736

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: 2017; Journal Issue: 1; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Conformal Field Models in String Theory; AdS-CFT Correspondence; Black Holes; Black Holes in String Theory

Citation Formats


                    Carson, Zaq, Hampton, Shaun, and Mathur, Samir D. One-loop transition amplitudes in the D1D5 CFT.  United States: N. p., 2017. 
Web.  doi:10.1007/JHEP01(2017)006.

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                    Carson, Zaq, Hampton, Shaun, & Mathur, Samir D. One-loop transition amplitudes in the D1D5 CFT.  United States.  https://doi.org/10.1007/JHEP01(2017)006

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                    Carson, Zaq, Hampton, Shaun, and Mathur, Samir D. Mon .  
"One-loop transition amplitudes in the D1D5 CFT".  United States.  https://doi.org/10.1007/JHEP01(2017)006.  https://www.osti.gov/servlets/purl/1424736.

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@article{osti_1424736,

  title        = {One-loop transition amplitudes in the D1D5 CFT},

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

  abstractNote = {We consider the issue of thermalization in the D1D5 CFT. Thermalization is expected to correspond to the formation of a black hole in the dual gravity theory. We start from the orbifold point, where the theory is essentially free, and does not thermalize. In earlier work it was noted that there was no clear thermalization effect when the theory was deformed of the orbifold point to first order in the relevant twist perturbation. In this paper we consider the deformation to second order in the twist, where we do find effects that can cause thermalization of an initial perturbation. We consider a 1-loop process where two untwisted copies of the CFT are twisted to one copy and then again untwisted to two copies. We start with a single oscillator excitation on the initial CFT, and compute the effect of the two twists on this state. We find simple approximate expressions for the Bogoliubov coeffcients and the behavior of the single oscillator excitation in the continuum limit, where the mode numbers involved are taken to be much larger than unity. We also prove a number of useful relationships valid for processes with an arbitrary number of twist insertions.},

  doi          = {10.1007/JHEP01(2017)006},

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

  number       = 1,

  volume       = 2017,

  place        = {United States},

  year         = {Mon Jan 02 00:00:00 EST 2017},

  month        = {Mon Jan 02 00:00:00 EST 2017}

}

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Works referencing / citing this record:

The OPE of bare twist operators in bosonic SN orbifold CFTs at large N
journal, August 2018

Burrington, Benjamin A.; Jardine, Ian T.; Peet, Amanda W.
Journal of High Energy Physics, Vol. 2018, Issue 8
DOI: 10.1007/jhep08(2018)202

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Title: One-loop transition amplitudes in the D1D5 CFT

Abstract

Citation Formats

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

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

PP-Wave/ CFT 2 Duality journal, November 2002

Thermalization of the spectral function in strongly coupled two dimensional conformal field theories journal, April 2013

Second order effect of twist deformations in the D1D5 CFT journal, April 2016

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

Time Dependence of Correlation Functions Following a Quantum Quench journal, April 2006

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

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

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

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

Semiclassical Virasoro blocks from AdS3 gravity journal, December 2015

Quantum quenches in 1 + 1 dimensional conformal field theories journal, June 2016

Hawking from Catalan journal, May 2016

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

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

On information loss in AdS3/CFT2 journal, May 2016

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

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

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

Interactions involving D-branes journal, December 1996

Fuzzball Solutions for Black Holes and D1-Brane–D5-Brane Microstates journal, February 2007

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Tunneling into fuzzball states journal, June 2009

Comments on the N = 2,3,4 superconformal algebras in two dimensions journal, January 1987

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

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

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

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

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

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

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

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Excitations in the deformed D1D5 CFT journal, June 2010

Instanton strings and hyper-Kähler geometry journal, March 1999

Absorption versus decay of black holes in string theory and T-symmetry journal, November 1996

Diagrams for symmetric product orbifolds journal, October 2009

Three-Point Functions for M N / S N Orbifolds¶with𝒩 = 4 Supersymmetry journal, May 2002

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

The OPE of bare twist operators in bosonic SN orbifold CFTs at large N journal, August 2018

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

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

PP-Wave/ CFT ₂ Duality
journal, November 2002

Thermalization of the spectral function in strongly coupled two dimensional conformal field theories
journal, April 2013

Second order effect of twist deformations in the D1D5 CFT
journal, April 2016

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

Time Dependence of Correlation Functions Following a Quantum Quench
journal, April 2006

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

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

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

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

Semiclassical Virasoro blocks from AdS3 gravity
journal, December 2015

Quantum quenches in 1 + 1 dimensional conformal field theories
journal, June 2016

Hawking from Catalan
journal, May 2016

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

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

On information loss in AdS3/CFT2
journal, May 2016

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

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

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

Interactions involving D-branes
journal, December 1996

Fuzzball Solutions for Black Holes and D1-Brane–D5-Brane Microstates
journal, February 2007

Anti de Sitter space and holography
journal, January 1998

Tunneling into fuzzball states
journal, June 2009

Comments on the N = 2,3,4 superconformal algebras in two dimensions
journal, January 1987

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

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

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

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

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

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

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

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

Excitations in the deformed D1D5 CFT
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Instanton strings and hyper-Kähler geometry
journal, March 1999

Absorption versus decay of black holes in string theory and T-symmetry
journal, November 1996

Diagrams for symmetric product orbifolds
journal, October 2009

Three-Point Functions for M N / S N Orbifolds¶with𝒩 = 4 Supersymmetry
journal, May 2002

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