Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 5, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP05(2017)112
Keywords
Conformal Field Theory; Extended Supersymmetry; Field Theories in Lower Dimensions
Categories
Funding
- Simons Investigator Award from the Simons Foundation
- DOE [DE-FG02-91ER40654]
- Sherman Fairchild Foundation
- U.S. Department of Energy, Office of Science, Office of High Energy Physics [DE-SC0011632]
- National Science Foundation [PHY-1606531]
- NSF [PHY-1620059]
- Simons Foundation [488653]
- FAS Division of Science, Research Computing Group at Harvard University
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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 semide finite 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 Liouville theory, and by certain Landau-Ginzburg models.
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