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

2018/09/30 by Jessica Hutomo, Sergei M. Kuzenko · 2 citations
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1016/j.physletb.2018.10.060

20 pages; V2: typos corrected, references and comments added, new models described; V3: typos in eqs. (4.8) and (4.12) corrected. arXiv admin note: text overlap with arXiv:1807.09098

arxiv created 2018/12/18 · arxiv updated 2018/12/19

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 S3.

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