N=4 mechanics with diverse (4,4,0) multiplets: explicit examples of HKT, CKT, and OKT geometries

Understand

We present simple models of N=4 supersymmetric mechanics with ordinary and mirror linear (4,4,0) multiplets that give a transparent description of HKT, CKT, and 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 the CKT and OKT supersymmetric sigma models are distinguished from the more simple HKT models by the presence of extra holomorphic torsions in the supercharges.