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

Understand

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.