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arXiv · 1809.00802

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

Jessica Hutomo·Sergei M. Kuzenko
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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 $S^3$.

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Jessica Hutomo, Sergei M. Kuzenko. 2018-09-04. Higher spin supermultiplets in three dimensions: (2,0) AdS supersymmetry. https://doi.org/10.1016/j.physletb.2018.10.060

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