Bianchi type-V spinning particle on S 2

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Integrable spinning extension of a free particle on S2 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.

Original languageEnglish
Article number143
JournalJournal of High Energy Physics
Issue number3
Publication statusPublished - 1 Mar 2020


  • Black Holes
  • Extended Supersymmetry
  • Integrable Field Theories

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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