Higher-spin gauge models with (1, 1) supersymmetry in AdS3: Reduction to (1, 0) superspace

In three dimensions, there are two types of N=2 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. [N=2 supersymmetric higher spin gauge theories and current multiplets in three dimensions, Phys. Rev. D 98, 125004 (2018)PRVDAQ2470-001010.1103/PhysRevD.98.125004; Higher spin supermultiplets in three dimensions: (2, 0) AdS supersymmetry, Phys. Lett. B 787, 175 (2018)PYLBAJ0370-269310.1016/j.physletb.2018.10.060] 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 Hutomo and Kuzenko [Field theories with (2, 0) AdS supersymmetry in N=1 AdS superspace, Phys. Rev. D 100, 045010 (2019)PRVDAQ2470-001010.1103/PhysRevD.100.045010], 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.