2019/05/29 by Evgeny I. Buchbinder, Buchbinder, Evgeny I., Daniel Hutchings +5
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #hep-th #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1905.12476
30 pages; V2: Comments and references added, typos corrected
arxiv created 2019/06/07 · arxiv updated 2019/06/10
The off-shell actions for \cal N-extended conformal supergravity theories in three dimensions were formulated in [1,2] for 1≤ \cal N ≤ 6 using a universal approach. Each action is generated by a closed super three-form which is constructed in terms of the constrained geometry of \cal N-extended conformal superspace. In this paper we initiate a program to recast these actions (and to formulate their higher-spin counterparts) in terms of unconstrained gauge prepotentials as integrals over the full superspace. We derive transverse projection operators in \cal N-extended Minkowski superspace and then use them to construct linearised rank-n super-Cotton tensors and off-shell \cal N-extended superconformal actions. We also propose off-shell gauge-invariant actions to describe massive higher-spin supermultiplets in \cal N-extended supersymmetry. Our analysis leads to general expressions for identically conserved higher-spin current multiplets in \cal N-extended supersymmetry.