Publications at the Riemann Center
Spinning extensions of D(2, 1; α) superconformal mechanics
Abstract
As is known, any realization of SU(2) in the phase space of a dynamical system can be generalized to accommodate the exceptional supergroup D(2, 1; α), which is the most general N = 4 supersymmetric extension of the conformal group in one spatial dimension. We construct novel spinning extensions of D(2, 1; α) superconformal mechanics by adjusting the SU(2) generators associated with the relativistic spinning particle coupled to a spherically symmetric Einstein-Maxwell background. The angular sector of the full superconformal system corresponds to the orbital motion of a particle coupled to a symmetric Euler top, which represents the spin degrees of freedom. This particle moves either on the two-sphere, optionally in the external field of a Dirac monopole, or in the SU(2) group manifold. Each case is proven to be superintegrable, and explicit solutions are given.
Details
- Organisation(s)
-
Institute of Theoretical Physics
Riemann Center for Geometry and Physics
- External Organisation(s)
-
Tomsk Polytechnic University
- Type
- Article
- Journal
- Journal of high energy physics
- Volume
- 2019
- ISSN
- 1126-6708
- Publication date
- 03.2019
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Electronic version(s)
-
https://doi.org/10.48550/arXiv.1902.06851 (Access:
Open
)
https://doi.org/10.1007/JHEP03(2019)069 (Access: Open )
https://doi.org/10.15488/4760 (Access: Open )
