Formalism of gauge invariant curvatures and constructing the cubic vertices for massive spin-3/2 field in AdS_4 space

TL;DR

This paper develops a formalism for constructing gauge-invariant curvatures and cubic interaction vertices for massive spin-3/2 fields in AdS_4 space, extending methods from massless higher spin theories.

Contribution

It generalizes the Fradkin-Vasiliev formalism to massive fermionic higher spin fields, providing a systematic way to construct interaction vertices.

Findings

Constructed gauge-invariant curvatures for massive spin-3/2 fields.

Derived explicit cubic interaction vertices in AdS_4.

Extended formalism from massless to massive higher spin fields.

Abstract

We study the interaction of massive spin-3/2 field with electromagnetic and gravitational fields in the four dimensional AdS space and construct the corresponding cubic vertices. Construction is based on generalization of Fradkin-Vasiliev formalism, developed for massless higher spin fields, to massive fermionic higher spin fields. The main ingredients of this formalism are the gauge invariant curvatures. We build such curvatures for the massive theory under consideration and show how the cubic vertices are written in their terms.