The Projective Linear Supergroup and the SUSY-preserving automorphisms of ${\mathbf P}^{1|1}$

TL;DR

This paper studies the structure of the projective linear supergroup and characterizes the supergroup of automorphisms of the superspace ${\mathbf P}^{1|1}$ that preserve supersymmetry, linking supergroup theory with superspace automorphisms.

Contribution

It provides a detailed description of the projective linear supergroup and identifies the supergroup of SUSY-preserving automorphisms of ${\mathbf P}^{1|1}$, clarifying their relationship.

Findings

Characterization of the projective linear supergroup.

Identification of the SUSY-preserving automorphism supergroup.

Relation between supergroup automorphisms and superspace symmetries.

Abstract

The purpose of this paper is to describe the projective linear supergroup, its relation with the automorphisms of the projective superspace and to determine the supergroup of SUSY preserving automorphisms of ${\mathbf P}^{1|1}$