Bootstrapping the N $$ \mathcal{N} $$ = 1 Wess-Zumino models in three dimensions

• Main Authors: Junchen Rong, Ning Su
• Format: Article
• Language: English
• Published: SpringerOpen 2021-06-01
• Series: Journal of High Energy Physics
• Subjects: Conformal Field Theory; Supersymmetric Gauge Theory
• Online Access: https://doi.org/10.1007/JHEP06(2021)153

Abstract Using numerical bootstrap method, we determine the critical exponents of the minimal three-dimensional N $$ \mathcal{N} $$ = 1 Wess-Zumino models with cubic superpotetential W ∼ d ijk Φ i Φ j Φ k $$ \mathcal{W}\sim {d}_{ijk}{\Phi}^i{\Phi}^j{\Phi}^k $$ . The tensor d ijk is taken to be the invariant tensor of either permutation group S N , special unitary group SU(N), or a series of groups called F 4 family of Lie groups. Due to the equation of motion, at the Wess-Zumino fixed point, the operator d ijk Φ j Φ k is a (super)descendant of Φ i . We observe such super-multiplet recombination in numerical bootstrap, which allows us to determine the scaling dimension of the super-field ∆Φ.