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SU(2$|$1) supersymmetric mechanics on curved spaces by Kozyrev, Nikolay; Krivonos, Sergey; Lechtenfeld, Olaf; Sutulin, Anton is a scholarly article available to read on EtoBox.

What is SU(2$|$1) supersymmetric mechanics on curved spaces about?

We present SU$(2|1)$ supersymmetric mechanics on $n$-dimensional Riemannian manifolds within the Hamiltonian approach. The structure functions including prepotentials entering the supercharges and the Hamiltonian obey extended curved WDVV equations specified by the manifold's metric and curvature tensor. We consider the most general $u(2)$-valued prepotential, which contains both types (with and without spin variables), previously considered only separately. For the case of real K\"{a}hler manifolds we construct all possible interactions. For isotropic ($so(n)$-invariant) spaces we provide admissible prepotentials for any solution to the curved WDVV equations. All known one-dimensional SU$(2|1)$ supersymmetric models are reproduced.

Author

Kozyrev, Nikolay; Krivonos, Sergey; Lechtenfeld, Olaf; Sutulin, Anton

Published

2017

Language

EN