BRST Lagrangian construction for spin-3/2 field in Einstein space

TL;DR

This paper develops a BRST-based method to construct a consistent Lagrangian for massive spin-3/2 fields in Einstein space, ensuring hyperbolic and causal propagation.

Contribution

It introduces a novel BRST approach for higher spin fields in Einstein space and proves causality and hyperbolicity of the spin-3/2 field propagation.

Findings

Constructed a BRST Lagrangian for spin-3/2 in Einstein space

Proved hyperbolic and causal propagation of the field

Demonstrated the hidden potential of BRST methods for higher spin theories

Abstract

We explore a hidden possibility of BRST approach to higher spin field theory to obtain a consistent Lagrangian for massive spin-3/2 field in Einstein space. Also, we prove that in the space under consideration the propagation of spin-3/2 field is hyperbolic and causal.