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Rational Calogero models based on rank-2 root systems: supertraces on the superalgebras of observables

Quantum Algebra 2007-05-23 v1 High Energy Physics - Theory

Abstract

It is shown that the superalgebra of observables of the rational Calogero model based on the root system of I_2(n) type possesses [(n+1)/2] supertraces. Model with three-particle interaction based on the root system G_2 belongs to this class of models and its superalgebra of observables has 3 independent supertraces.

Keywords

Cite

@article{arxiv.math/9801001,
  title  = {Rational Calogero models based on rank-2 root systems: supertraces on the superalgebras of observables},
  author = {S. E. Konstein},
  journal= {arXiv preprint arXiv:math/9801001},
  year   = {2007}
}

Comments

7 pages, LATEX