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Abstract
In three dimensions, it is known that field theories possessing extended (p, q) antide Sitter (AdS) supersymmetry with N = p + q >= 3 can he 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 1sf = 2 chiral and linear supermultiplets. The (2, 0) > (1, 0) AdS reduction technique is then applied to the offshell massless higherspin supermultiplets in (2,0) AdS superspace constructed in (11. As a result, for each superspin value integer ((s) over cap s) or halfinteger ((s) over cap = s+1/2) with s = 1, 2.., we obtain two offshell formulations for a (s) over cap massless N = 1 superspin4 multiplet in AdS(3). 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 Ar = 1 supersymmetric higherspin models thus derived are new. The constructed massless Ar = 1 supersymmetric higherspin actions in AdS(3) are used to formulate (i) higher spin supercurrent multiplets in N = 1 AdS superspace, and (ii) new topologically massive higherspin off shell supermultiplets. Examples of N= 1 higherspin supercurrents are given for models of a complex scalar supermultiplet. We also present two new offshell formulations for a massive N = 1 gravitino supermultiplet in AdS(3).
Original language  English 

Article number  045010 
Number of pages  29 
Journal  Physical Review D 
Volume  100 
Issue number  4 
DOIs  
Publication status  Published  12 Aug 2019 
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 1 Finished

Advances in HIgher Spin Gauge Theory
Kuzenko, S., Sorokin, D. & Vasiliev, M.
1/01/16 → 31/12/19
Project: Research