English

Bi-HKT and bi-Kaehler supersymmetric sigma models

High Energy Physics - Theory 2016-06-17 v2 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.1512.07923,
  title  = {Bi-HKT and bi-Kaehler supersymmetric sigma models},
  author = {S. A. Fedoruk and A. V. Smilga},
  journal= {arXiv preprint arXiv:1512.07923},
  year   = {2016}
}

Comments

31 pages, minor corrections in the published version