On supersymmetry algebra based on a spinor-vector generator

TL;DR

This paper explores the structure and representations of a supersymmetry algebra built on a spinor-vector generator, analyzing both massless and massive cases and discussing linearization in superspace.

Contribution

It introduces a novel SUSY algebra based on a spinor-vector generator and provides a systematic linearization approach within superspace formalism.

Findings

Unitary representations for massless and massive cases established

Linearization of nonlinear SUSY realization demonstrated

Superspace formalism with spinor-vector Grassmann coordinate developed

Abstract

We study the unitary representation of supersymmetry (SUSY) algebra based on a spinor-vector generator for both massless and massive cases. A systematic linearization of nonlinear realization for the SUSY algebra is also discussed in the superspace formalism with a spinor-vector Grassmann coordinate.