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

DOI10.1016/J.PHYSLETB.2018.10.060zbMATH Open1403.83052arXiv1809.00802OpenAlexW2890705797WikidataQ128997397 ScholiaQ128997397MaRDI QIDQ1630765

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Publication date: 10 December 2018

Published in: (Search for Journal in Brave)

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 $(s+frac12)$, 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 $S^3$.

Full work available at URL: https://arxiv.org/abs/1809.00802

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