2019/05/31 by Jessica Hutomo, Sergei M. Kuzenko · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Massless particle #Mathematical physics #Multiplet #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Superspace #Supersymmetry #hep-th #math-ph #math.MP
paper · pdf · doi:10.1103/physrevd.100.045010
published as Phys. Rev. D 100, 045010 (2019) · 55 pages; V2: comments and references added
openalex created_date 2019/05/16 · arxiv created 2019/06/10 · openalex publication_date 2019/08/12 · arxiv updated 2019/08/21 · openalex updated_date 2026/08/05
In three dimensions, it is known that field theories possessing extended (p,q) anti-de Sitter (AdS) supersymmetry with N=p+q\ensuremath≥3 can be realized in (2,0) AdS superspace. Here we present a formalism to reduce every field theory with (2,0) AdS supersymmetry to N=1 AdS superspace. As nontrivial examples, we consider supersymmetric nonlinear sigma models formulated in terms of N=2 chiral and linear supermultiplets. The (2,0)\ensuremath→(1,0) AdS reduction technique is then applied to the off-shell massless higher-spin supermultiplets in (2,0) AdS superspace constructed in [1]. As a result, for each superspin value \stackrel^s, integer (\stackrel^s=s) or half-integer (\stackrel^s=s+(1)/(2)), with s=1,2,…, we obtain two off-shell formulations for a massless N=1 superspin\text\ensuremath-\stackrel^s multiplet in AdS3. These models prove to be related to each other by a superfield Legendre transformation in the flat superspace limit, but the duality is not lifted to the AdS case. Two out of the four series of N=1 supersymmetric higher-spin models thus derived are new. The constructed massless N=1 supersymmetric higher-spin actions in AdS3 are used to formulate (i) higher-spin supercurrent multiplets in N=1 AdS superspace, and (ii) new topologically massive higher-spin off-shell supermultiplets. Examples of N=1 higher-spin supercurrents are given for models of a complex scalar supermultiplet. We also present two new off-shell formulations for a massive N=1 gravitino supermultiplet in AdS3.