Publications at the Riemann Center
N=4 supersymmetric mechanics on curved spaces
Abstract
We present N=4 supersymmetric mechanics on n-dimensional Riemannian manifolds constructed within the Hamiltonian approach. The structure functions entering the supercharges and the Hamiltonian obey modified covariant constancy equations as well as modified Witten-Dijkgraaf-Verlinde-Verlinde equations specified by the presence of the manifold's curvature tensor. Solutions of original Witten-Dijkgraaf-Verlinde-Verlinde equations and related prepotentials defining N=4 superconformal mechanics in flat space can be lifted to so(n)-invariant Riemannian manifolds. For the Hamiltonian this lift generates an additional potential term which, on spheres and (two-sheeted) hyperboloids, becomes a Higgs-oscillator potential. In particular, the sum of n copies of one-dimensional conformal mechanics results in a specific superintegrable deformation of the Higgs oscillator.
Details
- Organisation(s)
-
Institute of Theoretical Physics
Riemann Center for Geometry and Physics
- External Organisation(s)
-
Joint Institute for Nuclear Research
Yerevan Physics Institute - Armenian Academy of Sciences
- Type
- Article
- Journal
- Physical Review D
- Volume
- 97
- ISSN
- 2470-0010
- Publication date
- 15.04.2018
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
- Electronic version(s)
-
https://doi.org/10.48550/arXiv.1711.08734 (Access:
Open
)
https://doi.org/10.1103/PhysRevD.97.085015 (Access: Open )
https://doi.org/10.15488/3799 (Access: Open )
