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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. doi: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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