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arXiv · 0905.0063

On conformal supergravity and projective superspace

S. M. Kuzenko·U. Lindstrom·M. Rocek·G. Tartaglino-Mazzucchelli
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Abstract

The projective superspace formulation for four-dimensional N = 2 matter-coupled supergravity presented in arXiv:0805.4683 makes use of the variant superspace realization for the N = 2 Weyl multiplet in which the structure group is SL(2,C) x SU(2) and the super-Weyl transformations are generated by a covariantly chiral parameter. An extension to Howe's realization of N = 2 conformal supergravity in which the tangent space group is SL(2,C) x U(2) and the super-Weyl transformations are generated by a real unconstrained parameter was briefly sketched. Here we give the explicit details of the extension.

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S. M. Kuzenko, U. Lindstrom, M. Rocek, G. Tartaglino-Mazzucchelli. 2009-08-18. On conformal supergravity and projective superspace. https://doi.org/10.1088/1126-6708/2009/08/023

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