Canonical analysis of a system with fermionic gauge symmetry

摘要

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.