Nuclear Physics B (Jan 2022)

Comments of Z22-supersymmetry in superfield formalism

  • S. Doi,
  • N. Aizawa

DOI
https://doi.org/10.1016/j.nuclphysb.2021.115641
Journal volume & issue
Vol. 974
p. 115641

Abstract

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We investigate superfield formulation of the minimal Z22-supersymmetry. It is shown that the integrability on Z22-superspace guarantees the invariance of action. Then we present two superfields which carry distinct irreducible representations of the Z22-supersymmetry algebra. One of them gives integrable Lagrangian and the other does not. We also show that integrable superfields with different Z22-degree also carry irreducible representations and they give invariant actions. To perform this analysis, the representation theory of the minimal Z22-supersymmetry algebra is studied in some detail.