Remarks on rational solutions of Yang-Baxter equations

Details Remarks on rational solutions of Yang-Baxter equations Remarks on rational solutions of Yang-Baxter equations

2011-01-31

arxiv.org/abs/1101.5901v2

Physics

Mathematical Physics

18 pages

Scientific paper

In this article, we study unitary rational solutions of the associative
Yang-Baxter equation with three spectral parameters. We explain how such
solutions arise from the geometry of vector bundles on a cuspidal cubic curve.
Moreover, we investigate how these solutions are related to the quantum and
classical Yang-Baxter equations.

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