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.
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Contributor : Sylvie Flores <>
Submitted on : Thursday, May 19, 2016 - 9:03:43 AM
Last modification on : Thursday, February 7, 2019 - 4:33:30 PM

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S. A. Fedoruk, A. V. Smilga. Bi-HKT and bi-Kaehler supersymmetric sigma models. Journal of Mathematical Physics, American Institute of Physics (AIP), 2016, 57 (4), pp.042103. ⟨10.1063/1.4945315⟩. ⟨in2p3-01317959⟩

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