Supersymmetric higher spin models in three dimensional spaces

TL;DR

This paper reviews the construction of supersymmetric higher spin models in three-dimensional Minkowski and AdS spaces, emphasizing a gauge-invariant approach and the development of massive supermultiplets.

Contribution

It introduces a supersymmetric extension of the frame-like gauge invariant formulation for 3D higher spin fields, including massive supermultiplet construction methods.

Findings

Massive supermultiplets in 3D Minkowski space built from massless ones with added mass terms.

Construction of massive supermultiplets in 3D AdS space using gauge invariant curvatures.

Development of a consistent supersymmetric deformation of higher spin models.

Abstract

We review the component Lagrangian construction of the supersymmetric higher spin models in three dimensional (3D) Minkowski and anti de Sitter (AdS) spaces. The approach is based on the frame-like gauge invariant formulation, where massive higher spin fields are realized through a system of massless ones. We develop a supersymmetric generalization of this formulation to the Lagrangian construction of the on-shell N=1, 3D higher spin supermultiplets. In 3D Minkowski space we show that the massive supermultiplets can be constructed from one extended massless supermultiplet by adding the mass terms to the Lagrangian and the corresponding corrections to the supertransformations of the fermionic fields. In 3D AdS space we construct massive supermultiplets using a formulation of the massive fields in terms of the set of gauge invariant objects (curvatures) in the process of their consistent supersymmetric deformation.