Irreducible representations of ${\mathbb{Z}}_2^2$-graded $\mathcal{N}=2$ supersymmetry algebra and ${\mathbb{Z}}_2^2$-graded supermechanics

N. Aizawa, S. Doi

Irreducible representations (irreps) of ${\mathbb{Z}}_2^2$-graded supersymmetry algebra of $\mathcal{N}=2$ are obtained by the method of induced representation and they are used to deri…