(2, 2) superconformal bootstrap in two dimensions

Autor: Ying-Hsuan Lin, Shu-Heng Shao, Yifan Wang, Xi Yin
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2017, Iss 5, Pp 1-50 (2017)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP05(2017)112
Popis: Abstract We find a simple relation between two-dimensional BPS N = 2 $$ \mathcal{N}=2 $$ 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. 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 $$ \mathcal{N}=2 $$ Liouville theory, and by certain Landau-Ginzburg models.
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