SU(2) Lie-Poisson algebra and its descendants

  title={SU(2) Lie-Poisson algebra and its descendants},
  author={Jin Dai and Theodora Ioannidou and Antti J. Niemi},
  journal={Physical Review D},
In this paper, a novel discrete algebra is presented which follows by combining the SU(2) Lie-Poisson bracket with the discrete Frenet equation. Physically, the construction describes a discrete piecewise linear string in R 3 . The starting point of our derivation is the discrete Frenet frame assigned at each vertix of the string. Then the link vector that connect the neighbouring vertices is assigned the SU(2) Lie-Poisson bracket. Moreover, the same bracket defines the transfer matrices of the… 



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