Elliptic Calogero-Moser system from two-dimensional current algebra

Jan, 1994
8 pages
e-Print:
Report number:
  • ITEP-NG-1-94

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Abstract: (desy)
We show that elliptic Calogero-Moser system and its Lax operator found by Krichever can be obtained by Hamiltonian reduction from the integrable Hamiltonian system on the cotangent bundle to the central extension of the algebra of SL(N,C) currents.Elliptic deformation of Yang-Mills theory is presented.
  • field theory: conformal
  • dimension: 2
  • current algebra: SL(N)
  • gauge field theory: Yang-Mills
  • differential geometry: symplectic
  • operator: Lax