Lifting at higher levels in the D1D5 CFT

Guo, Bin; Mathur, Samir D.

doi:10.1007/jhep11(2020)145

Title: Lifting at higher levels in the D1D₅ CFT

Abstract

The D1D₅P system has a large set of BPS states at its orbifold point. Perturbing away from this ‘free’ point leads to some states joining up into long supermultiplets and lifting, while other states remain BPS. We consider the simplest orbifold which exhibits this lift: that with N = 2 copies of the free c = 6 CFT. We write down the number of lifted and unlifted states implied by the index at all levels upto 6. We work to second order in the perturbation strength λ. For levels upto 4, we find the wavefunctions of the lifted states, their supermultiplet structure and the value of the lift. All states that are allowed to lift by the index are in fact lifted at order O(λ²). We observe that the unlifted states in the untwisted sector have an antisymmetry between the copies in the right moving Ramond ground state sector, and extend this observation to find classes of states for arbitrary N that will remain unlifted to O(λ²)

Authors:

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

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

Publication Date:: Thu Nov 26 00:00:00 EST 2020

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

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1851535

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: 11; Journal ID: ISSN 1029-8479

Publisher:: Springer Nature

Country of Publication:: United States

Language:: English

Subject:: 79 ASTRONOMY AND ASTROPHYSICS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; conformal field theory; extended supersymmetry; AdS-CFT correspondence; black holes in string theory

Citation Formats


                    Guo, Bin, and Mathur, Samir D. Lifting at higher levels in the D1D5 CFT.  United States: N. p., 2020. 
Web.  doi:10.1007/jhep11(2020)145.

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                    Guo, Bin, & Mathur, Samir D. Lifting at higher levels in the D1D5 CFT.  United States.  https://doi.org/10.1007/jhep11(2020)145

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                    Guo, Bin, and Mathur, Samir D. Thu .  
"Lifting at higher levels in the D1D5 CFT".  United States.  https://doi.org/10.1007/jhep11(2020)145.  https://www.osti.gov/servlets/purl/1851535.

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@article{osti_1851535,

  title        = {Lifting at higher levels in the D1D5 CFT},

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

  abstractNote = {The D1D5P system has a large set of BPS states at its orbifold point. Perturbing away from this ‘free’ point leads to some states joining up into long supermultiplets and lifting, while other states remain BPS. We consider the simplest orbifold which exhibits this lift: that with N = 2 copies of the free c = 6 CFT. We write down the number of lifted and unlifted states implied by the index at all levels upto 6. We work to second order in the perturbation strength λ. For levels upto 4, we find the wavefunctions of the lifted states, their supermultiplet structure and the value of the lift. All states that are allowed to lift by the index are in fact lifted at order O(λ2). We observe that the unlifted states in the untwisted sector have an antisymmetry between the copies in the right moving Ramond ground state sector, and extend this observation to find classes of states for arbitrary N that will remain unlifted to O(λ2)},

  doi          = {10.1007/jhep11(2020)145},

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

  number       = 11,

  volume       = 2020,

  place        = {United States},

  year         = {Thu Nov 26 00:00:00 EST 2020},

  month        = {Thu Nov 26 00:00:00 EST 2020}

}

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Title: Lifting at higher levels in the D1D5 CFT

Abstract

Citation Formats

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

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

Symmetries of the refined D1/D5 BPS spectrum journal, November 2017

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

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

A refined count of BPS states in the D1/D5 system journal, June 2017

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

Asymptotically-flat supergravity solutions deep inside the black-hole regime journal, February 2018

Higgsing the stringy higher spin symmetry journal, October 2015

Conformal perturbation theory for twisted fields journal, February 2020

Geometry on the space of conformal field theories and contact terms journal, March 1989

Character formulas for the N = 4 superconformal algebra journal, January 1988

Characters of the N = 4 superconformal algebra with two central extensions (II). Massless representations journal, April 1990

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

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

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

Superconformal algebras in two dimensions with N=4 journal, July 1988

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

Excitations in the deformed D1D5 CFT journal, June 2010

Instanton strings and hyper-Kähler geometry journal, March 1999

Supercharging superstrata journal, March 2019

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

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

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

Diagrams for symmetric product orbifolds journal, October 2009

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

Lifting of level-1 states in the D1D5 CFT journal, March 2020

Superstratum symbiosis journal, September 2019

Smooth Horizonless Geometries Deep Inside the Black-Hole Regime journal, November 2016

Fuzzballs with internal excitations journal, June 2007

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

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

Conformal perturbation theory beyond the leading order journal, February 2009

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

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

Logarithmic enhancements in conformal perturbation theory and their real time interpretation journal, October 2020

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

Habemus superstratum! A constructive proof of the existence of superstrata journal, May 2015

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

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

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

Unitary representations of the N=4 superconformal algebra journal, September 1987

Momentum fractionation on superstrata journal, May 2016

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

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

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

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

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

Lifting of states in 2-dimensional N = 4 supersymmetric CFTs journal, October 2019

Lifting $$\frac{1}{4}$$-BPS States on K3 and Mathieu Moonshine journal, March 2020

Instantons on D-branes journal, March 1996

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

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

Title: Lifting at higher levels in the D1D₅ CFT

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

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

Symmetries of the refined D1/D5 BPS spectrum
journal, November 2017

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

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

A refined count of BPS states in the D1/D5 system
journal, June 2017

Twist-nontwist correlators in $M^{N} / S_{N}$ orbifold CFTs
journal, May 2013

Asymptotically-flat supergravity solutions deep inside the black-hole regime
journal, February 2018

Higgsing the stringy higher spin symmetry
journal, October 2015

Conformal perturbation theory for twisted fields
journal, February 2020

Geometry on the space of conformal field theories and contact terms
journal, March 1989

Character formulas for the N = 4 superconformal algebra
journal, January 1988

Characters of the N = 4 superconformal algebra with two central extensions (II). Massless representations
journal, April 1990

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

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

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

Superconformal algebras in two dimensions with N=4
journal, July 1988

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

Excitations in the deformed D1D5 CFT
journal, June 2010

Instanton strings and hyper-Kähler geometry
journal, March 1999

Supercharging superstrata
journal, March 2019

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

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

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

Diagrams for symmetric product orbifolds
journal, October 2009

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

Lifting of level-1 states in the D1D5 CFT
journal, March 2020

Superstratum symbiosis
journal, September 2019

Smooth Horizonless Geometries Deep Inside the Black-Hole Regime
journal, November 2016

Fuzzballs with internal excitations
journal, June 2007

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

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

Conformal perturbation theory beyond the leading order
journal, February 2009

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

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

Logarithmic enhancements in conformal perturbation theory and their real time interpretation
journal, October 2020

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

Habemus superstratum! A constructive proof of the existence of superstrata
journal, May 2015

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

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

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

Unitary representations of the N=4 superconformal algebra
journal, September 1987

Momentum fractionation on superstrata
journal, May 2016

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

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

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

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

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

Lifting of states in 2-dimensional N = 4 supersymmetric CFTs
journal, October 2019

Lifting $$\frac{1}{4}$$-BPS States on K3 and Mathieu Moonshine
journal, March 2020

Instantons on D-branes
journal, March 1996

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

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