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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:
 [1];  [1]
  1. The Ohio State Univ., Columbus, OH (United States)
Publication Date:
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. https://doi.org/10.1007/JHEP10(2019)155.
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
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.
@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 referenced in this record:

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


Fuzzballs with internal excitations
journal, June 2007

  • Kanitscheider, Ingmar; Skenderis, Kostas; Taylor, Marika
  • Journal of High Energy Physics, Vol. 2007, Issue 06
  • DOI: 10.1088/1126-6708/2007/06/056

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

  • Carson, Zaq; Hampton, Shaun; Mathur, Samir D.
  • Journal of High Energy Physics, Vol. 2015, Issue 1
  • DOI: 10.1007/JHEP01(2015)071

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

  • Carson, Zaq; Hampton, Shaun; Mathur, Samir D.
  • Journal of High Energy Physics, Vol. 2014, Issue 8
  • DOI: 10.1007/JHEP08(2014)064

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

  • Burrington, Benjamin A.; Jardine, Ian T.; Peet, Amanda W.
  • Journal of High Energy Physics, Vol. 2017, Issue 6
  • DOI: 10.1007/JHEP06(2017)149

Conformal perturbation theory beyond the leading order
journal, February 2009

  • Gaberdiel, Matthias R.; Konechny, Anatoly; Schmidt-Colinet, Cornelius
  • Journal of Physics A: Mathematical and Theoretical, Vol. 42, Issue 10
  • DOI: 10.1088/1751-8113/42/10/105402

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

  • Lunin, Oleg; Mathur, Samir D.
  • Communications in Mathematical Physics, Vol. 219, Issue 2
  • DOI: 10.1007/s002200100431

Higgsing the stringy higher spin symmetry
journal, October 2015

  • Gaberdiel, Matthias R.; Peng, Cheng; Zadeh, Ida G.
  • Journal of High Energy Physics, Vol. 2015, Issue 10
  • DOI: 10.1007/JHEP10(2015)101

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

  • Arutyunov, G. E.; Frolov, S. A.
  • Theoretical and Mathematical Physics, Vol. 114, Issue 1
  • DOI: 10.1007/BF02557107

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

  • Pakman, Ari; Rastelli, Leonardo; Razamat, Shlomo S.
  • Journal of High Energy Physics, Vol. 2010, Issue 5
  • DOI: 10.1007/JHEP05(2010)099

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

  • Carson, Zaq; Hampton, Shaun; Mathur, Samir D.
  • Journal of High Energy Physics, Vol. 2017, Issue 1
  • DOI: 10.1007/JHEP01(2017)006

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

  • Avery, Steven G.; Chowdhury, Borun D.; Mathur, Samir D.
  • Journal of High Energy Physics, Vol. 2010, Issue 6
  • DOI: 10.1007/JHEP06(2010)031

Excitations in the deformed D1D5 CFT
journal, June 2010

  • Avery, Steven G.; Chowdhury, Borun D.; Mathur, Samir D.
  • Journal of High Energy Physics, Vol. 2010, Issue 6
  • DOI: 10.1007/JHEP06(2010)032

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

  • Hampton, Shaun; Mathur, Samir D.; Zadeh, Ida G.
  • Journal of High Energy Physics, Vol. 2019, Issue 1
  • DOI: 10.1007/JHEP01(2019)075

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

  • Lunin, Oleg; Mathur, Samir D.
  • Communications in Mathematical Physics, Vol. 227, Issue 2
  • DOI: 10.1007/s002200200638

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

  • Carson, Zaq; Hampton, Shaun; Mathur, Samir D.
  • Journal of High Energy Physics, Vol. 2017, Issue 11
  • DOI: 10.1007/JHEP11(2017)096

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


    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
    • DOI: 10.1088/1751-8121/ab6b91