Lifting of level-1 states in the D1D5 CFT

Guo, Bin; Mathur, Samir D.

doi:10.1007/JHEP03(2020)028

Title: Lifting of level-1 states in the D1D5 CFT

Abstract

The D1D5 CFT has a large set of states that are supersymmetric at the ‘free’ orbifold point in moduli space. When we perturb away from this point, some of these states join into long multiplets and lift in energy, while others remain supersymmetric. The count of unlifted states can be bounded below by an index, but the index does not yield the pattern of lifting; i.e., which states join into a long multiplet and how much this multiplet lifts. In this paper we consider the simple case of the D1D5 CFT where the orbifold CFT is a sigma model with targets space (T⁴)²/S₂and consider states at energy level 1. There are 2688 states at this level. The lifted states form a triplet of long multiplets, and we compute their lift at second order in perturbation theory. Half the members of the long multiplet are in the untwisted sector and half are in the twisted sector. This and other similar studies should help in the understanding of fuzzball states that describe extremal holes, since CFT sectors with low twist describe shallow throats in the dual gravity solution while sectors with high twist describe deep throats.

Authors:

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

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

Publication Date:: Thu Mar 05 00:00:00 EST 2020

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

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

OSTI Identifier:: 1802254

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: 3; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 79 ASTRONOMY AND ASTROPHYSICS; Physics; Conformal Field Theory; Extended Supersymmetry; AdS-CFT Correspondence; Black Holes in String Theory

Citation Formats


                    Guo, Bin, and Mathur, Samir D. Lifting of level-1 states in the D1D5 CFT.  United States: N. p., 2020. 
Web.  doi:10.1007/JHEP03(2020)028.

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                    Guo, Bin, & Mathur, Samir D. Lifting of level-1 states in the D1D5 CFT.  United States.  https://doi.org/10.1007/JHEP03(2020)028

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                    Guo, Bin, and Mathur, Samir D. Thu .  
"Lifting of level-1 states in the D1D5 CFT".  United States.  https://doi.org/10.1007/JHEP03(2020)028.  https://www.osti.gov/servlets/purl/1802254.

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@article{osti_1802254,

  title        = {Lifting of level-1 states in the D1D5 CFT},

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

  abstractNote = {The D1D5 CFT has a large set of states that are supersymmetric at the ‘free’ orbifold point in moduli space. When we perturb away from this point, some of these states join into long multiplets and lift in energy, while others remain supersymmetric. The count of unlifted states can be bounded below by an index, but the index does not yield the pattern of lifting; i.e., which states join into a long multiplet and how much this multiplet lifts. In this paper we consider the simple case of the D1D5 CFT where the orbifold CFT is a sigma model with targets space (T4)2/S2and consider states at energy level 1. There are 2688 states at this level. The lifted states form a triplet of long multiplets, and we compute their lift at second order in perturbation theory. Half the members of the long multiplet are in the untwisted sector and half are in the twisted sector. This and other similar studies should help in the understanding of fuzzball states that describe extremal holes, since CFT sectors with low twist describe shallow throats in the dual gravity solution while sectors with high twist describe deep throats.},

  doi          = {10.1007/JHEP03(2020)028},

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

  number       = 3,

  volume       = 2020,

  place        = {United States},

  year         = {Thu Mar 05 00:00:00 EST 2020},

  month        = {Thu Mar 05 00:00:00 EST 2020}

}

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Title: Lifting of level-1 states 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

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

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

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

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

Multiplets of superconformal symmetry in diverse dimensions journal, March 2019

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

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

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

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

Conformal Field Theory at C=1 book, January 1988

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

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

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

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

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

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

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

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

Multiplets of superconformal symmetry in diverse dimensions
journal, March 2019

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

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

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

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

Conformal Field Theory at C=1
book, January 1988

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

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

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