4D N = 2 Supergravity and Projective Superspace

Details 4D N = 2 Supergravity and Projective Superspace 4D N = 2 Supergravity and Projective Superspace

2008-05-30

arxiv.org/abs/0805.4683v3

JHEP 0809:051,2008

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, LaTeX, no figures; V2: comments and references added, version published in JHEP; V3: typo in eq. (2.7e) corrected

Scientific paper

10.1088/1126-6708/2008/09/051

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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