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arXiv · 1910.08578

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

Junchen Rong·Ning Su
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Abstract

Using numerical bootstrap method, we determine the critical exponents of the minimal three-dimensional N = 1 Wess-Zumino models with cubic superpotetential $W\sim d_{ijk}Φ_iΦ_jΦ_k$. 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 F4 family of Lie groups. Due to the equation of motion, at the Wess-Zumino fixed point, the operator $d_{ijk}Φ_iΦ_jΦ_k$ 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 $Φ_i$.

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Junchen Rong, Ning Su. 2019-10-18. Bootstrapping the $\mathcal{N}=1$ Wess-Zumino models in three dimensions. https://arxiv.org/abs/1910.08578

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