Nilpotent Spinor Symmetry with Interacting Spin 3/2 Field

TL;DR

This paper introduces a new interacting spin 3/2 field model that exhibits a nilpotent spinorial symmetry, expanding the understanding of fermionic symmetries in high-spin field theories.

Contribution

It presents a novel system for interacting spin 3/2 fields that realizes a nilpotent fermionic symmetry, building on previous work with bosonic non-Abelian tensors.

Findings

Established a consistent interaction framework for spin 3/2 fields

Demonstrated realization of nilpotent spinorial symmetry in the new system

Extended previous bosonic tensor results to fermionic spin 3/2 fields

Abstract

Consistent interactions of spin 3/2 field that realize a nilpotent spinorial symmetry are presented. Based on our previous results on purely bosonic non-Abelian tensor with consistent interactions, we present a new system for interacting spin 3/2 field that realizes the nilpotent fermionic symmetry.