Canonical Analysis of a System with Fermionic Gauge Symmetry

TL;DR

This paper analyzes a gauge theory coupled with a Majorana spinor, revealing unique fermionic symmetries that differ from supergravity, using the Dirac constraint formalism.

Contribution

It provides a canonical analysis of a non-Abelian gauge system with fermionic gauge symmetry, distinct from supergravity, without auxiliary fields.

Findings

Identifies fermionic symmetries in the model

Shows the symmetry algebra closes without auxiliary fields

Demonstrates invariance of the action

Abstract

A non-Abelian gauge field with a topological action is coupled to a spin 3/2 Majorana spinor. The symmetries of this model are analyzed using the Dirac constraint formalism. These symmetries include a Fermionic symmetry and the algebra of these symmetries closes; it is not the algebra of supergravity. The action is invariant without the need to introduce auxiliary fields.