Lifting of states in 2-dimensional N = 4 supersymmetric CFTs

Guo, Bin; Mathur, Samir D.

doi:10.1007/JHEP10(2019)155

Title: Lifting of states in 2-dimensional N = 4 supersymmetric CFTs

Abstract

We consider states of the D1-D5 CFT where only the left-moving sector is excited. As we deform away from the orbifold point, some of these states will remain BPS while others can `lift'. The lifting can be computed by a path integral containing two twist deformations; however, the relevant 4-point amplitude cannot be computed explicitly in many cases. We analyze an older proposal by Gava and Narain where the lift can be computed in terms of a finite number of 3-point functions. A direct Hamiltonian decomposition of the path integral involves an infinite number of 3-point functions, as well the first order correction to the starting state. We note that these corrections to the state account for the infinite number of 3-point functions arising from higher energy states, and one can indeed express the path-integral result in terms of a finite number of 3-point functions involving only the leading order states that are degenerate. The first order correction to the supercharge $$\bar G^{(1)}$$ gets replaced by a projection $$\bar G^{(P)}$$; this projected operator can also be used to group the states into multiplets whose members have the same lifting.

Authors:

Guo, Bin ^[1]; Mathur, Samir D. ^[1]

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

Publication Date:: 2019-10-14

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

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

OSTI Identifier:: 1602470

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: 2019; Journal Issue: 10; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Conformal Field Theory; Extended Supersymmetry; AdS-CFT Correspondence

Citation Formats


                    Guo, Bin, and Mathur, Samir D. Lifting of states in 2-dimensional N = 4 supersymmetric CFTs.  United States: N. p., 2019. 
Web.  doi:10.1007/JHEP10(2019)155.

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                    Guo, Bin, & Mathur, Samir D. Lifting of states in 2-dimensional N = 4 supersymmetric CFTs.  United States.  https://doi.org/10.1007/JHEP10(2019)155

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                    Guo, Bin, and Mathur, Samir D. Mon .  
"Lifting of states in 2-dimensional N = 4 supersymmetric CFTs".  United States.  https://doi.org/10.1007/JHEP10(2019)155.  https://www.osti.gov/servlets/purl/1602470.

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@article{osti_1602470,

  title        = {Lifting of states in 2-dimensional N = 4 supersymmetric CFTs},

  author       = {Guo, Bin and Mathur, Samir D.},

  abstractNote = {We consider states of the D1-D5 CFT where only the left-moving sector is excited. As we deform away from the orbifold point, some of these states will remain BPS while others can `lift'. The lifting can be computed by a path integral containing two twist deformations; however, the relevant 4-point amplitude cannot be computed explicitly in many cases. We analyze an older proposal by Gava and Narain where the lift can be computed in terms of a finite number of 3-point functions. A direct Hamiltonian decomposition of the path integral involves an infinite number of 3-point functions, as well the first order correction to the starting state. We note that these corrections to the state account for the infinite number of 3-point functions arising from higher energy states, and one can indeed express the path-integral result in terms of a finite number of 3-point functions involving only the leading order states that are degenerate. The first order correction to the supercharge $\bar G^{(1)}$ gets replaced by a projection $\bar G^{(P)}$; this projected operator can also be used to group the states into multiplets whose members have the same lifting.},

  doi          = {10.1007/JHEP10(2019)155},

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

  number       = 10,

  volume       = 2019,

  place        = {United States},

  year         = {2019},

  month        = {10}

}

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Works referencing / citing this record:

Conformal perturbation theory for twisted fields
journal, February 2020

Keller, Christoph A.; Zadeh, Ida G.
Journal of Physics A: Mathematical and Theoretical, Vol. 53, Issue 9
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Title: Lifting of states in 2-dimensional N = 4 supersymmetric CFTs

Abstract

Citation Formats

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

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

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

Conformal perturbation theory beyond the leading order journal, February 2009

Twistfield perturbations of vertex operators in the Bbb Z 2 -orbifold model journal, June 2002

Multicritical behavior at the kosterlitz-thouless critical point journal, July 1979

Background independence of closed superstring field theory journal, February 2018

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

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

Higgsing the stringy higher spin symmetry journal, October 2015

Continuously varying exponents and the value of the central charge journal, September 1987

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

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

The chiral ring of AdS 3 /CFT 2 and the attractor mechanism journal, March 2009

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

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

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

Excitations in the deformed D1D5 CFT journal, June 2010

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Gravity from CFT on SN(X) : symmetries and interactions journal, June 2000

Instantons on D-branes journal, March 1996

Diagrams for symmetric product orbifolds journal, October 2009

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

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

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

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

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

Black hole greybody factors and D -brane spectroscopy journal, January 1997

Instanton strings and hyper-Kähler geometry journal, March 1999

Four graviton scattering amplitude from supersymmetric orbifold sigma model journal, July 1998

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

Extremal correlators and Hurwitz numbers in symmetric product orbifolds journal, October 2009

Operator mixing for string states in the D1-D5 CFT near the orbifold point journal, May 2013

Twist-nontwist correlators in M N / S N orbifold CFTs journal, May 2013

Analyzing the squeezed state generated by a twist deformation journal, June 2015

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

Conformal perturbation theory, dimensional regularization, and AdS/CFT correspondence journal, October 2014

On the background independence of string field theory journal, December 1990

Stress Tensor Perturbations in Conformal Field Theory journal, November 1991

Deformations of conformal field theories and symmetries of the string journal, May 1990

Conformal perturbation theory for twisted fields journal, February 2020

Conformal Perturbation Theory for Twisted Fields text, January 2019

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

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

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

Conformal perturbation theory beyond the leading order
journal, February 2009

Twistfield perturbations of vertex operators in the Bbb Z ₂ -orbifold model
journal, June 2002

Multicritical behavior at the kosterlitz-thouless critical point
journal, July 1979

Background independence of closed superstring field theory
journal, February 2018

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

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

Higgsing the stringy higher spin symmetry
journal, October 2015

Continuously varying exponents and the value of the central charge
journal, September 1987

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

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

The chiral ring of AdS ₃ /CFT ₂ and the attractor mechanism
journal, March 2009

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

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

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

Excitations in the deformed D1D5 CFT
journal, June 2010

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

Gravity from CFT on SN(X) : symmetries and interactions
journal, June 2000

Instantons on D-branes
journal, March 1996

Diagrams for symmetric product orbifolds
journal, October 2009

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

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

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

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

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

Black hole greybody factors and D -brane spectroscopy
journal, January 1997

Instanton strings and hyper-Kähler geometry
journal, March 1999

Four graviton scattering amplitude from supersymmetric orbifold sigma model
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AdS/CFT duality and the black hole information paradox
journal, February 2002

Extremal correlators and Hurwitz numbers in symmetric product orbifolds
journal, October 2009

Operator mixing for string states in the D1-D5 CFT near the orbifold point
journal, May 2013

Twist-nontwist correlators in $M^{N} / S_{N}$ orbifold CFTs
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Analyzing the squeezed state generated by a twist deformation
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Bogoliubov coefficients for the twist operator in the D1D5 CFT
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Conformal perturbation theory, dimensional regularization, and AdS/CFT correspondence
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On the background independence of string field theory
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Stress Tensor Perturbations in Conformal Field Theory
journal, November 1991

Deformations of conformal field theories and symmetries of the string
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Conformal perturbation theory for twisted fields
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