English

Two body systems from sl(2,C)-tops

Dynamical Systems 2007-11-16 v1

Abstract

It is shown that sl(2,C\mathbb{C}) Euler-Arnold tops are equivalent to the two-body systems of Calogero-Moser type. We prove that generic Hamiltonians of sl(2,C\mathbb{C}) tops are equivalent to one of three canonical Hamiltonians. For all canonical Hamiltonians the corresponding two-body system is found. Bosonisation formulas for each case are obtained explicitly. Relations with Antonov-Zabrodin-Hasegawa R-matrix are discussed.

Cite

@article{arxiv.0711.2432,
  title  = {Two body systems from sl(2,C)-tops},
  author = {Smirnov Andrey},
  journal= {arXiv preprint arXiv:0711.2432},
  year   = {2007}
}

Comments

9 pages

R2 v1 2026-06-21T09:43:49.642Z