Bi-HKT and bi-Kaehler supersymmetric sigma models

TL;DR

This paper investigates bi-HKT and bi-Kaehler supersymmetric sigma models, exploring their geometric structures, reductions, and connections to known models, revealing new features in N=4 supersymmetric quantum mechanics.

Contribution

It introduces and analyzes bi-HKT and bi-Kaehler sigma models with isometries, showing how Hamiltonian reduction relates them to twisted Kaehler models with additional F-terms.

Findings

Bi-HKT models exhibit dual HKT geometries in their sectors.

Hamiltonian reduction yields N=4 models related to twisted Kaehler models.

Extra F-terms appear in the superfield action after reduction.

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.