Bi-HKT and bi-Kähler supersymmetric sigma models

2015/12/31 by Sergey Fedoruk, S. A. Fedoruk, Andrei Smilga +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Dimensional reduction #Geometry and complex manifolds #Hamiltonian (control theory) #Quantum #Reduction (mathematics) #Sigma #Sigma model #Supersymmetric quantum mechanics #Torsion (gastropod) #hep-th #math-ph #math.MP

paper · pdf · doi:10.1063/1.4945315

published as J. Math. Phys. 57 (2016) no.4, 042103 · 31 pages, minor corrections in the published version

openalex publication_date 2016/04/01 · arxiv created 2016/06/16 · arxiv updated 2016/06/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study Clifford Kähler with torsion (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 Kähler model due to Gates, Hull and Rocek, but including certain extra F-terms in the superfield action.

Citations

• Hierarchy of N=8 mechanics models
• DIRAC OPERATOR ON COMPLEX MANIFOLDS AND SUPERSYMMETRIC QUANTUM MECHANICS
• Twistor spaces for hyper-Kähler manifolds with torsion
• N = 4, d = 1 supermultiplets from nonlinear realizations of D (2, 1; )
• Elliptic monopoles and (4,0)-supersymmetric sigma models with torsion
• Geometry of Hyper-Kähler Connections with Torsion
• “Root” action forN=4supersymmetric mechanics theories