Bi-HKT and bi-Kähler supersymmetric sigma models

Abstract

We study Clifford Kähler with torsion (or bi-HKT) N=4 supersymmetric quantum mechanical sigma models. They are characterized by the usual and the mirror sectors displaying each HKT geometry. When the metric involves isometries, a Hamiltonian reduction is possible. The most natural such reduction with respect to a half of bosonic target space coordinates produces an N=4 model, related to the twisted Kähler model due to Gates, Hull and Rocek, but including certain extra F-terms in the superfield action.