Bootstrapping the N=1 Wess-Zumino models in three dimensions

Using numerical bootstrap method, we determine the critical exponents of the minimal three-dimensional N = 1 Wess-Zumino models with cubic superpotetential W similar to dijk 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)Phi (j)Phi (k) is a (super)descendant of Phi (i). We observe such super-multiplet recombination in numerical bootstrap, which allows us to determine the scaling dimension of the super-field (Phi).

Automated summary

Using numerical bootstrap method, the critical exponents of minimal three-dimensional N = 1 Wess-Zumino models with cubic superpotential W similar to dijk Phi i Phi j Phi k are determined, where the tensor d(ijk) is taken to be the invariant tensor of specific permutation or Lie groups. The study also observes super-multiplet recombination, allowing for the determination of the scaling dimension of the super-field (Phi).