Bi-HKT and bi-Kaehler supersymmetric sigma models

Abstract

We study CKT (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 Kaehler model due to Gates, Hull and Rocek, but including certain extra F-terms in the superfield action.

31 pages, minor corrections in the published version

References in corpus (4)

• Supersymmetric Calogero models by gauging
• Hierarchy of N=8 Mechanics Models
• Index Theorems on Torsional Geometries
• Comments on HKT supersymmetric sigma models and their Hamiltonian reduction

Cited by in corpus (2)

• Generic HKT geometries in the harmonic superspace approach
• Supersymmetry and Hodge theory on Sasakian and Vaisman manifolds