Abstract
In three dimensions, there are two types of anti–de Sitter (AdS) supersymmetry, which are denoted (1, 1) and (2, 0). They are characterized by different supercurrents and support different families of higher-spin gauge models (massless and massive), which were constructed in Hutomo et al. [ supersymmetric higher spin gauge theories and current multiplets in three dimensions, Phys. Rev. D 98, 125004 (2018); Higher spin supermultiplets in three dimensions: (2, 0) AdS supersymmetry, Phys. Lett. B 787, 175 (2018)] for the (1, 1) and (2, 0) cases, respectively, using superspace techniques. It turns out that the precise difference between the (1, 1) and (2, 0) higher-spin supermultiplets can be pinned down by reducing these gauge theories to (1, 0) AdS superspace. The present paper is devoted to the AdS superspace reduction. In conjunction with the outcomes of the AdS superspace reduction carried out in Hutomo and Kuzenko [Field theories with (2, 0) AdS supersymmetry in AdS superspace, Phys. Rev. D 100, 045010 (2019)], we demonstrate that every known higher-spin theory with (1, 1) or (2, 0) AdS supersymmetry decomposes into a sum of two off-shell (1, 0) supermultiplets that belong to four series of inequivalent higher-spin gauge models. The latter are reduced to components.
- Received 15 December 2020
- Accepted 3 May 2021
DOI:https://doi.org/10.1103/PhysRevD.103.126023
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Published by the American Physical Society