NEW N=2 MATTER COUPLINGS IN SUPERSPACE

Abstract

The generalized N=2 tensor multiplets are defined and the corresponding interacting models are constructed in N=2 superspace in four dimensions. The couplings with the N=2 Yang-Mills fields are given too. The two-dimensional nonlinear N=4 supersymmetric sigma models obtained via dimensional reduction are known to be finite. The construction gives rise to a variety of explicitly constructed quaternionic-Kähler metrics. Some two-dimensional N=4 supersymmetric sigma models with nonvanishing torsion turn out to be equivalent to the ordinary N=4 hyper-Kähler nonlinear sigma models without torsion.