(2, 2) superconformal bootstrap in two dimensions
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]
- 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:
- FG02-91ER40654; 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 1029-8479
- 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
- Free Publicly Accessible Full Text
-
Accepted Manuscript (DOE)
- Publisher's Version of Record
- https://doi.org/10.1007/JHEP05(2017)112