Higher spin supermultiplets in three dimensions: (2,0) AdS supersymmetry

TL;DR

This paper develops new off-shell gauge formulations for higher-spin supermultiplets in three-dimensional (2,0) AdS supersymmetry, including supergravity and topologically massive models, with potential extensions to S^3.

Contribution

It introduces novel off-shell gauge formulations for massless higher-spin supermultiplets in (2,0) AdS supersymmetry, expanding the theoretical framework for supersymmetric higher-spin theories.

Findings

Constructed two off-shell gauge formulations for massless higher-spin supermultiplets.

Connected formulations to (2,0) AdS supergravity and minimal supergravity.

Extended the framework to include topologically massive supermultiplets.

Abstract

Within the framework of (2,0) anti-de Sitter (AdS) supersymmetry in three dimensions, we propose a multiplet of higher-spin currents. Making use of this supercurrent, we construct two off-shell gauge formulations for a massless multiplet of half-integer superspin $(s+\frac 12)$, for every integer $s>0$. In the $s=1$ case, one formulation describes the linearised action for (2,0) anti-de Sitter supergravity, while the other gives the type III minimal supergravity action in (2,0) AdS superspace, with both linearised supergravity actions originally derived in arXiv:1109.0496. The constructed massless actions are then used to formulate topologically massive higher-spin supermultiplets in (2,0) AdS superspace. Our results admit a natural extension to the case of $S^3$.