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arXiv · 0805.4683

4D N = 2 Supergravity and Projective Superspace

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

This paper presents a projective superspace formulation for 4D N = 2 matter-coupled supergravity. We first describe a variant superspace realization for the N = 2 Weyl multiplet. It differs from that proposed by Howe in 1982 by the choice of the structure group (SO(3,1) x SU(2) versus SO(3,1) x U(2)), which implies that the super-Weyl transformations are generated by a covariantly chiral parameter instead of a real unconstrained one. We introduce various off-shell supermultiplets which are curved superspace analogues of the superconformal projective multiplets in global supersymmetry and which describe matter fields coupled to supergravity. A manifestly locally supersymmetric and super-Weyl invariant action principle is given. Off-shell locally supersymmetric nonlinear sigma models are presented in this new superspace.

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S. M. Kuzenko, U. Lindstrom, M. Rocek, G. Tartaglino-Mazzucchelli. 2009-01-26. 4D N = 2 Supergravity and Projective Superspace. https://doi.org/10.1088/1126-6708%2F2008%2F09%2F051

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