SUSY $N$-supergroups and their real forms

Abstract

We study SUSY $N$-supergroups, $N=1,2$, their classification and explicit realization, together with their real forms. In the end, we give the supergroup of SUSY preserving automorphism of ${\mathbf{C}}^{1|1}$ and we identify it with a subsupergroup of the SUSY preserving automorphisms of ${\mathbf{P}}^{1|1}$.

References in corpus (1)

• On Complex Lie Supergroups and Homogeneous Split Supermanifolds