N=4 mechanics with diverse (4, 4, 0) multiplets: Explicit examples of hyper-K?hler with torsion, Clifford K?hler with torsion, and octonionic K?hler with torsion geometries

摘要

We present simple models of N=4 supersymmetric mechanics with ordinary and mirror linear (4, 4, 0) multiplets that give a transparent description of Hyper-K?hler with Torsion (HKT), Clifford K?hler with Torsion (CKT), and Octonionic K?hler with Torsion (OKT) geometries. These models are treated in the N=4 and N=2 superfield approaches, as well as in the component approach. Our study makes manifest that theCKTandOKTsupersymmetric sigmamodels are distinguished from the more simple HKT models by the presence of extra holomorphic torsion terms in the supercharges.