Abstract
Within the framework of (2,0) anti-de Sitter (AdS) supersymmetry in three dimensions, we propose a multiplet of higher-spin currents. Making use of this supercurrent, we construct two off-shell gauge formulations for a massless multiplet of half-integer superspin (s+12), for every integer s>0. In the s=1 case, one formulation describes the linearised action for (2,0) anti-de Sitter supergravity, while the other gives the type III minimal supergravity action in (2,0) AdS superspace, with both linearised supergravity actions originally derived in arXiv:1109.0496. We formulate topologically massive higher-spin supermultiplets in (2,0) AdS superspace. Our results admit a natural extension to the case of S3.
Highlights
In the s = 1 case, one formulation describes the linearised action for (2,0) anti-de Sitter supergravity, while the other gives the type III minimal supergravity action in (2,0) AdS superspace, with both linearised supergravity actions originally derived in arXiv:1109.0496
The present paper is devoted to constructing higher-spin gauge multiplets with (2,0) AdS supersymmetry
With respect to 3D (2,0) AdS supersymmetry, there is no 4D intuition to guide us, and new ideas are required in order to construct higher-spin gauge supermultiplets
Summary
We introduce operators that increase the degree of homogeneity in the variable ζα, D(1) := ζ αDα , D(21) = 0 ,. We introduce two nilpotent operators that decrease the degree of homogeneity in the variable ζα, . Implies that the theory possesses a real supercurrent J(2s) = J(2s), for any positive integer s, which obeys the conservation equation. This supercurrent proves to have the same form as in the (1,1) AdS case considered in [10]. Replacing Φ → Γand Φ → Γ in (3.8) gives the higher-spin supercurrents in the nonminimal theory (3.9), which is similar to the 4D case [37, 38]
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
