Bianchi type-V spinning particle on 2-sphere
High Energy Physics - Theory
2020-04-22 v1 General Relativity and Quantum Cosmology
Exactly Solvable and Integrable Systems
Abstract
Integrable spinning extension of a free particle on 2-sphere is constructed in which spin degrees of freedom are represented by a 3-vector obeying the Bianchi type-V algebra. Generalizations involving a scalar potential giving rise to two quadratic constants of the motion, or external field of the Dirac monopole, or the motion on the group manifold of SU(2) are built. A link to the model of a relativistic spinning particle propagating on the near horizon 7d Myers-Perry black hole background is considered. Implications of the construction in this work for the D(2,1;a) superconformal mechanics are discussed.
Cite
@article{arxiv.1912.13339,
title = {Bianchi type-V spinning particle on 2-sphere},
author = {Anton Galajinsky},
journal= {arXiv preprint arXiv:1912.13339},
year = {2020}
}
Comments
12 pages