2020/11/30 by Daniel Hutchings, Jessica Hutomo, Sergei M. Kuzenko
Physics and Astronomy · Mathematics · #hep-th #math-ph #math.MP
paper · pdf · doi:10.1103/physrevd.103.126023
published as Phys. Rev. D 103, 126023 (2021) · V2: 78 pages. References, comments and a new appendix added, published version
arxiv created 2021/06/23 · arxiv updated 2021/06/30
In three dimensions, there are two types of \cal N=2 anti-de Sitter (AdS) supersymmetry, which are denoted (1,1) and (2,0). They are characterised by different supercurrents and support different families of higher-spin gauge models (massless and massive) which were constructed in arXiv:1807.09098 and arXiv:1809.00802 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 (1,1) → (1,0) AdS superspace reduction. In conjunction with the outcomes of the (2,0) → (1,0) AdS superspace reduction carried out in arXiv:1905.05050, 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 which belong to four series of inequivalent higher-spin gauge models. The latter are reduced to components.