Symmetry of $osp(m|n)$ spin Calogero-Sutherland models
Kazuyuki Oshima
TL;DR
This paper introduces osp(m|n) spin Calogero-Sutherland models and identifies their symmetry properties, which depend on a specific coupling constant value, linking the models to osp(m|n) algebraic structures.
Contribution
The paper establishes the symmetry conditions of osp(m|n) spin Calogero-Sutherland models and connects them to osp(m|n) half-loop algebra or Yangian at a specific coupling.
Findings
Models exhibit osp(m|n) symmetry at a specific coupling constant
Symmetry is described by osp(m|n) half-loop algebra or Yangian
Coupling constant value is 2/(m-n-4)
Abstract
We introduce osp(m|n) spin Calogero-Sutherland models and find that the models have the symmetry of osp(m|n) half-loop algebra or Yangian of osp(m|n) if and only if the coupling constant of the model equals to 2/(m-n-4).
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Taxonomy
TopicsNonlinear Waves and Solitons · Algebraic structures and combinatorial models · Advanced Algebra and Geometry