SU(2|1) supersymmetric mechanics on curved spaces

authored by

Nikolay Kozyrev, Sergey Krivonos, Olaf Lechtenfeld, Anton Sutulin

Abstract

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 Kähler 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.

Organisation(s)

Institut für Theoretische Physik
Riemann Center for Geometry and Physics

External Organisation(s)

Joint Institute for Nuclear Research (JINR)

Type

Artikel

Journal

Journal of high energy physics

Volume

2018

ISSN

1126-6708

Publication date

05.2018

Publication status

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Kern- und Hochenergiephysik

Electronic version(s)

https://doi.org/10.48550/arXiv.1712.09898 (Access: Offen)
https://doi.org/10.1007/JHEP05(2018)175 (Access: Offen)
https://doi.org/10.15488/3769 (Access: Offen)