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arXiv · 2109.14227

Comments of $\mathbb{Z}_2^2$-supersymmetry in superfield formalism

S. Doi·N. Aizawa
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Abstract

We investigate superfield formulation of the minimal $\mathbb{Z}_2^2$-supersymmetry. It is shown that the integrability on $\mathbb{Z}_2^2$-superspace guarantees the invariance of action. Then we present two superfields which carry distinct irreducible representations of the $\mathbb{Z}_2^2$-supersymmetry algebra. One of them gives integrable Lagrangian and the other does not. We also show that integrable superfields with different $\mathbb{Z}_2^2$-degree also carry irreducible representations and they give invariant actions. To perform this analysis, the representation theory of the minimal $\mathbb{Z}_2^2$-supersymmetry algebra is studied in some detail.

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S. Doi, N. Aizawa. 2021-09-29. Comments of $\mathbb{Z}_2^2$-supersymmetry in superfield formalism. https://doi.org/10.1016/j.nuclphysb.2021.115641

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