Abstract
In three dimensions, it is known that field theories possessing extended anti-de Sitter (AdS) supersymmetry with can be realized in (2,0) AdS superspace. Here we present a formalism to reduce every field theory with (2,0) AdS supersymmetry to AdS superspace. As nontrivial examples, we consider supersymmetric nonlinear sigma models formulated in terms of chiral and linear supermultiplets. The 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 , integer or half-integer , with , we obtain two off-shell formulations for a massless multiplet in . 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 supersymmetric higher-spin models thus derived are new. The constructed massless supersymmetric higher-spin actions in are used to formulate (i) higher-spin supercurrent multiplets in AdS superspace, and (ii) new topologically massive higher-spin off-shell supermultiplets. Examples of higher-spin supercurrents are given for models of a complex scalar supermultiplet. We also present two new off-shell formulations for a massive gravitino supermultiplet in .
- Received 11 June 2019
DOI:https://doi.org/10.1103/PhysRevD.100.045010
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society