Publications at the Riemann Center
SU(2|1) supersymmetric mechanics on curved spaces
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.
Details
- Organisation(s)
-
Institute of Theoretical Physics
Riemann Center for Geometry and Physics
- External Organisation(s)
-
Joint Institute for Nuclear Research
- Type
- Article
- Journal
- Journal of high energy physics
- Volume
- 2018
- ISSN
- 1126-6708
- Publication date
- 05.2018
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Electronic version(s)
-
https://doi.org/10.48550/arXiv.1712.09898 (Access:
Open
)
https://doi.org/10.1007/JHEP05(2018)175 (Access: Open )
https://doi.org/10.15488/3769 (Access: Open )
