Abstract Integrable spinning extension of a free particle on $$ \mathcal{S} $$ S 2 is constructed in which spin degrees of freedom are represented by a 3-vector obeying the Bianchi… Click to show full abstract
Abstract Integrable spinning extension of a free particle on $$ \mathcal{S} $$ 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.
Journal Title: Journal of High Energy Physics
Year Published: 2020
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