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Title: (2, 2) superconformal bootstrap in two dimensions

Abstract

We find a simple relation between two-dimensional BPS N = 2 superconformal blocks and bosonic Virasoro conformal blocks, which allows us to analyze the crossing equations for BPS 4-point functions in unitary (2, 2) superconformal theories numerically with semidefinite programming. Here, we constrain gaps in the non-BPS spectrum through the operator product expansion of BPS operators, in ways that depend on the moduli of exactly marginal deformations through chiral ring coefficients. In some cases, our bounds on the spectral gaps are observed to be saturated by free theories, by N = 2 Liouville theory, and by certain Landau-Ginzburg models.

Authors:
 [1];  [2];  [3];  [4]
  1. Harvard Univ., Cambridge, MA (United States); California Institute of Technology, Pasadena, CA (United States)
  2. Harvard Univ., Cambridge, MA (United States); Institute for Advanced Study, Princeton, NJ (United States)
  3. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Princeton Univ., Princeton, NJ (United States)
  4. Harvard Univ., Cambridge, MA (United States)
Publication Date:
Research Org.:
Harvard Univ., Cambridge, MA (United States); California Institute of Technology, Pasadena, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1389567
Grant/Contract Number:  
FG02-91ER40654; SC0011632
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 5; 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; Field Theories in Lower Dimensions

Citation Formats

Lin, Ying -Hsuan, Shao, Shu -Heng, Wang, Yifan, and Yin, Xi. (2, 2) superconformal bootstrap in two dimensions. United States: N. p., 2017. Web. doi:10.1007/JHEP05(2017)112.
Lin, Ying -Hsuan, Shao, Shu -Heng, Wang, Yifan, & Yin, Xi. (2, 2) superconformal bootstrap in two dimensions. United States. doi:10.1007/JHEP05(2017)112.
Lin, Ying -Hsuan, Shao, Shu -Heng, Wang, Yifan, and Yin, Xi. Fri . "(2, 2) superconformal bootstrap in two dimensions". United States. doi:10.1007/JHEP05(2017)112. https://www.osti.gov/servlets/purl/1389567.
@article{osti_1389567,
title = {(2, 2) superconformal bootstrap in two dimensions},
author = {Lin, Ying -Hsuan and Shao, Shu -Heng and Wang, Yifan and Yin, Xi},
abstractNote = {We find a simple relation between two-dimensional BPS N = 2 superconformal blocks and bosonic Virasoro conformal blocks, which allows us to analyze the crossing equations for BPS 4-point functions in unitary (2, 2) superconformal theories numerically with semidefinite programming. Here, we constrain gaps in the non-BPS spectrum through the operator product expansion of BPS operators, in ways that depend on the moduli of exactly marginal deformations through chiral ring coefficients. In some cases, our bounds on the spectral gaps are observed to be saturated by free theories, by N = 2 Liouville theory, and by certain Landau-Ginzburg models.},
doi = {10.1007/JHEP05(2017)112},
journal = {Journal of High Energy Physics (Online)},
number = 5,
volume = 2017,
place = {United States},
year = {Fri May 19 00:00:00 EDT 2017},
month = {Fri May 19 00:00:00 EDT 2017}
}

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Cited by: 4 works
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