The method of vacuum vectors in the theory of Yang - Baxter equation

I. G. Korepanov

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arXiv · nlin/0010024

The method of vacuum vectors in the theory of Yang - Baxter equation

I. G. Korepanov

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Abstract

In modern terminology, this is the first published paper where the solutions of Yang - Baxter equation "at roots of unity" were analyzed and shown to be related to algebraic curves of genus >1. They are also known now to be connected with the "chiral Potts model". The paper's abstract as written in 1986 reads: "Vacuum vectors of an L-operator form a holomorphic bundle over the vacuum curve of that operator. These notions, as well as the theory of commutation relations of the 6-vertex model, are used in this work for constructing solutions of the Yang - Baxter equation that do not possess a spectral parameter of traditional type".

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I. G. Korepanov. 2000-10-12. The method of vacuum vectors in the theory of Yang - Baxter equation. https://arxiv.org/abs/nlin/0010024

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