Abstract
Using numerical bootstrap method, we determine the critical exponents of the minimal three-dimensional \( \mathcal{N} \) = 1 Wess-Zumino models with cubic superpotetential \( \mathcal{W}\sim {d}_{ijk}{\Phi}^i{\Phi}^j{\Phi}^k \). The tensor dijk is taken to be the invariant tensor of either permutation group SN, special unitary group SU(N), or a series of groups called F4 family of Lie groups. Due to the equation of motion, at the Wess-Zumino fixed point, the operator dijkΦjΦk is a (super)descendant of Φi. We observe such super-multiplet recombination in numerical bootstrap, which allows us to determine the scaling dimension of the super-field ∆Φ.
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Rong, J., Su, N. Bootstrapping the \( \mathcal{N} \) = 1 Wess-Zumino models in three dimensions. J. High Energ. Phys. 2021, 153 (2021). https://doi.org/10.1007/JHEP06(2021)153
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DOI: https://doi.org/10.1007/JHEP06(2021)153