5D Supergravity and Projective Superspace
Sergei M. Kuzenko, Gabriele Tartaglino-Mazzucchelli

TL;DR
This paper develops a comprehensive projective superspace formulation for 5D N=1 supergravity, providing solutions to Bianchi identities, describing off-shell supermultiplets, and establishing a locally supersymmetric action principle.
Contribution
It offers a complete solution to the Bianchi identities for 5D supergravity and introduces a manifestly supersymmetric action principle with projective invariance.
Findings
Complete solution to Bianchi identities for 5D supergravity
Existence of large family of off-shell supermultiplets
Invariant action principle under projective transformations
Abstract
This paper is a companion to our earlier work arXiv:0710.3440 in which the projective superspace formulation for matter-coupled simple supergravity in five dimensions was presented. For the minimal multiplet of 5D N=1 supergravity introduced by Howe in 1981, we give a complete solution of the Bianchi identities. The geometry of curved superspace is shown to allow the existence of a large family of off-shell supermultiplets that can be used to describe supersymmetric matter, including vector multiplets and hypermultiplets. We formulate a manifestly locally supersymmetric action principle. Its natural property turns out to be the invariance under so-called projective transformations of the auxiliary isotwistor variables. We then demonstrate that the projective invariance allows one to uniquely restore the action functional in a Wess-Zumino gauge. The latter action is well-suited for…
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