# Lagrangian description of massive higher spin supermultiplets in AdS_3 space

## TL;DR

This paper develops a Lagrangian framework for describing massive higher spin supermultiplets in AdS_3 space, utilizing gauge invariant formalism and curvatures to derive supertransformations that preserve the combined Lagrangian.

## Contribution

It introduces a novel Lagrangian formulation for massive higher spin supermultiplets in AdS_3 using gauge invariant curvatures and explicit supertransformations.

## Key findings

- Explicit supertransformations for (s,s+1/2) and (s,s-1/2) supermultiplets derived.
- Lagrangian invariance under supertransformations demonstrated.
- Framework applicable to three-dimensional anti-de Sitter space.

## Abstract

We construct the Lagrangian formulation of massive higher spin on-shell (1,0) supermultiplets in three dimensional anti-de Sitter space. The construction is based on description of the massive three dimensional fields in terms of frame-like gauge invariant formalism and technique of gauge invariant curvatures. For the two possible massive supermultiplets (s,s+1/2) and (s,s-1/2) we derive explicit form of the supertransformations leaving the sum of bosonic and fermionic Lagrangians invariant.