On superpotentials for nonlinear sigma-models with eight supercharges

Details On superpotentials for nonlinear sigma-models with eight supercharges On superpotentials for nonlinear sigma-models with eight supercharges

2006-02-06

arxiv.org/abs/hep-th/0602050v2

Phys.Lett.B638:288-291,2006

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, no figures. V2: comments, references added

Scientific paper

10.1016/j.physletb.2006.05.054

Using projective superspace techniques, we consider 4D N = 2 and 5D N = 1 gauged supersymmetric nonlinear sigma-models for which the hyper-Kahler target space is (an open domain of the zero section of) the cotangent bundle of a real-analytic Kahler manifold. As in the 4D N = 1 case, one may gauge those holomorphic isometries of the base Kahler manifold (more precisely, their lifting to the cotangent bundle) which are generated by globally defined Killing potentials. In the U(1) case, by freezing the background vector (tropical) multiplet to a constant value of its gauge-invariant superfield strength, we demonstrate the generation of a chiral superpotential, upon elimination of the auxiliary superfields and dualisation of the complex linear multiplets into chiral ones. Our analysis uncovers a N = 2 superspace origin for the results recently obtained in hep-th/0601165.

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