5D Supergravity and Projective Superspace

Details 5D Supergravity and Projective Superspace 5D Supergravity and Projective Superspace

2007-12-19

arxiv.org/abs/0712.3102v2

JHEP0802:004,2008

Physics

High Energy Physics

High Energy Physics - Theory

37 pages, LaTeX, no figures; V2: typos corrected, version to appear in JHEP

Scientific paper

10.1088/1126-6708/2008/02/004

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.

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