Abstract
Integrable spinning extension of a free particle on \( \mathcal{S} \)2 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; α) superconformal mechanics are discussed.
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ArXiv ePrint: 1912.13339
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Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
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Galajinsky, A. Bianchi type-V spinning particle on \( \mathcal{S} \)2. J. High Energ. Phys. 2020, 143 (2020). https://doi.org/10.1007/JHEP03(2020)143
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DOI: https://doi.org/10.1007/JHEP03(2020)143