(2, 2) superconformal bootstrap in two dimensions
We find a simple relation between twodimensional BPS N = 2 superconformal blocks and bosonic Virasoro conformal blocks, which allows us to analyze the crossing equations for BPS 4point functions in unitary (2, 2) superconformal theories numerically with semidefinite programming. Here, we constrain gaps in the nonBPS 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 LandauGinzburg models.
 Authors:

^{[1]};
^{[2]};
^{[3]};
^{[4]}
 Harvard Univ., Cambridge, MA (United States); California Institute of Technology, Pasadena, CA (United States)
 Harvard Univ., Cambridge, MA (United States); Institute for Advanced Study, Princeton, NJ (United States)
 Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Princeton Univ., Princeton, NJ (United States)
 Harvard Univ., Cambridge, MA (United States)
 Publication Date:
 Grant/Contract Number:
 FG0291ER40654; SC0011632
 Type:
 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 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Harvard Univ., Cambridge, MA (United States); California Institute of Technology, Pasadena, CA (United States)
 Sponsoring Org:
 USDOE
 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
 OSTI Identifier:
 1389567
Lin, Ying Hsuan, Shao, Shu Heng, Wang, Yifan, and Yin, Xi. (2, 2) superconformal bootstrap in two dimensions. United States: N. p.,
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. 2017.
"(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 twodimensional BPS N = 2 superconformal blocks and bosonic Virasoro conformal blocks, which allows us to analyze the crossing equations for BPS 4point functions in unitary (2, 2) superconformal theories numerically with semidefinite programming. Here, we constrain gaps in the nonBPS 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 LandauGinzburg models.},
doi = {10.1007/JHEP05(2017)112},
journal = {Journal of High Energy Physics (Online)},
number = 5,
volume = 2017,
place = {United States},
year = {2017},
month = {5}
}