An N $$ \mathcal{N} $$ = 1 Lagrangian for an N $$ \mathcal{N} $$ = 3 SCFT

• Main Author: Gabi Zafrir
• Format: Article
• Language: English
• Published: SpringerOpen 2021-01-01
• Series: Journal of High Energy Physics
• Subjects: Extended Supersymmetry; Supersymmetric Gauge Theory
• Online Access: https://doi.org/10.1007/JHEP01(2021)062

Abstract We propose that a certain 4d N $$ \mathcal{N} $$ = 1 SU(2) × SU(2) gauge theory flows in the IR to an N $$ \mathcal{N} $$ = 3 SCFT plus a single free chiral field. The specific N $$ \mathcal{N} $$ = 3 SCFT has rank 1 and a dimension three Coulomb branch operator. The flow is generically expected to land at the N $$ \mathcal{N} $$ = 3 SCFT deformed by the marginal deformation associated with said Coulomb branch operator. We also present a discussion about the properties expected of various RG invariant quantities from N $$ \mathcal{N} $$ = 3 superconformal symmetry, and use these to test our proposal. Finally, we discuss a generalization to another N $$ \mathcal{N} $$ = 1 model that we propose is related to a certain rank 3 N $$ \mathcal{N} $$ = 3 SCFT through the turning of certain marginal deformations.