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- W2947601504 abstract "The off-shell actions for $cal N$-extended conformal supergravity theories in three dimensions were formulated in [1,2] for $1leq {cal N} leq 6$ 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." @default.
- W2947601504 created "2019-06-07" @default.
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- W2947601504 date "2019-05-29" @default.
- W2947601504 modified "2023-09-27" @default.
- W2947601504 title "Linearised actions for $cal N$-extended (higher-spin) superconformal gravity" @default.
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