2007/12/31 by Sergei M. Kuzenko, Gabriele Tartaglino-Mazzucchelli
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1088/1126-6708/2008/02/004
published as JHEP 0802:004,2008 · 37 pages, LaTeX, no figures; V2: typos corrected, version to appear in JHEP
arxiv created 2008/01/29 · arxiv updated 2014/11/18
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 reducing the supergravity-matter systems to components.