Frame-like gauge invariant Lagrangian formulation of massive fermionic higher spin fields in AdS_3 space

TL;DR

This paper develops a gauge-invariant Lagrangian framework for massive fermionic higher spin fields in AdS_3 space, including explicit formulations and an example with spin-5/2.

Contribution

It introduces a novel frame-like gauge-invariant Lagrangian formulation for massive fermionic higher spin fields in three-dimensional AdS space.

Findings

Constructed gauge-invariant Lagrangian and gauge transformations.

Developed gauge-invariant curvature formalism for the massive theory.

Applied the formalism to the spin-5/2 field as an example.

Abstract

We construct the frame-like gauge-invariant Lagrangian formulation for massive fermionic arbitrary spin fields in three-dimensional $AdS$ space. The Lagrangian and complete set of gauge transformations are obtained. We also develop the formalism of gauge-invariant curvatures for the massive theory under consideration and show how the Lagrangian is formulated in their terms. The massive spin-5/2 field is discussed as an example.