A New Class of Supersymmetric Theories

TL;DR

This paper introduces a novel class of quantum mechanical theories exhibiting fermionic symmetry transformations that follow a BRST-like algebra, expanding the landscape of supersymmetric models.

Contribution

It constructs a new class of theories with fermionic invariance governed by a BRST-like algebra, differing from traditional supersymmetry.

Findings

Theories are invariant under fermionic transformations.

Transformations satisfy a BRST-like algebra.

Potential applications in quantum mechanics and field theory.

Abstract

We construct a class of quantum mechanical theories which are invariant under fermionic transformations similar to supersymmetry transformations. The generators of the transformations in this case, however, satisfy a BRST-like algebra.