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arXiv · 1912.13339

Bianchi type-V spinning particle on 2-sphere

Anton Galajinsky
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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.

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Anton Galajinsky. 2019-12-27. Bianchi type-V spinning particle on 2-sphere. https://doi.org/10.1007/jhep03(2020)143

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