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arXiv · 0712.3102

5D Supergravity and Projective Superspace

Sergei M. Kuzenko·Gabriele Tartaglino-Mazzucchelli
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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 reducing the supergravity-matter systems to components.

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Sergei M. Kuzenko, Gabriele Tartaglino-Mazzucchelli. 2008-01-29. 5D Supergravity and Projective Superspace. https://doi.org/10.1088/1126-6708%2F2008%2F02%2F004

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