4D N = 2 Supergravity and Projective Superspace
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.
Keywords
Cite
@article{arxiv.0805.4683,
title = {4D N = 2 Supergravity and Projective Superspace},
author = {S. M. Kuzenko and U. Lindstrom and M. Rocek and G. Tartaglino-Mazzucchelli},
journal= {arXiv preprint arXiv:0805.4683},
year = {2009}
}
Comments
26 pages, LaTeX, no figures; V2: comments and references added, version published in JHEP; V3: typo in eq. (2.7e) corrected