(2, 2) superconformal bootstrap in two dimensions

Lin, Ying -Hsuan; Shao, Shu -Heng; Wang, Yifan; Yin, Xi

doi:10.1007/JHEP05(2017)112

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

Journal Article · Fri May 19 00:00:00 EDT 2017 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP05(2017)112· OSTI ID:1389567

Lin, Ying -Hsuan ^[1]; Shao, Shu -Heng ^[2]; Wang, Yifan ^[3]; Yin, Xi ^[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)

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.

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Research Organization:: Harvard Univ., Cambridge, MA (United States); California Institute of Technology (CalTech), Pasadena, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF); Simons Foundation

Grant/Contract Number:: FG02-91ER40654; SC0011632; SC0007870; PHY-1606531; PHY-1620059; 488653

OSTI ID:: 1389567

Journal Information:: Journal of High Energy Physics (Online), Vol. 2017, Issue 5; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 12 works

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