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

Abstract

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.

1+33 pages

References in corpus (5)

• Hierarchy of N=8 Mechanics Models
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Cited by in corpus (5)

• Hyper-Kähler with Torsion, T-duality, and Defect (p,q) Five-branes
• Taming the zoo of supersymmetric quantum mechanical models
• Comments on HKT supersymmetric sigma models and their Hamiltonian reduction
• Generic HKT geometries in the harmonic superspace approach
• Probing the holomorphic anomaly of the $D=2,\mathcal{N}=2$, Wess-Zumino model on the lattice