Spinning extensions of D(2, 1; α) superconformal mechanics

Anton Galajinsky, Olaf Lechtenfeld

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Abstract

As is known, any realization of SU(2) in the phase space of a dynamical system can be generalized to accommodate the exceptional supergroup D(2, 1; α), which is the most general N = 4 supersymmetric extension of the conformal group in one spatial dimension. We construct novel spinning extensions of D(2, 1; α) superconformal mechanics by adjusting the SU(2) generators associated with the relativistic spinning particle coupled to a spherically symmetric Einstein-Maxwell background. The angular sector of the full superconformal system corresponds to the orbital motion of a particle coupled to a symmetric Euler top, which represents the spin degrees of freedom. This particle moves either on the two-sphere, optionally in the external field of a Dirac monopole, or in the SU(2) group manifold. Each case is proven to be superintegrable, and explicit solutions are given.

Original languageEnglish
Article number69
JournalJournal of High Energy Physics
Volume2019
Issue number3
DOIs
Publication statusPublished - 1 Mar 2019

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Keywords

  • Classical Theories of Gravity
  • Conformal and W Symmetry
  • Extended Supersymmetry
  • Integrable Field Theories

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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