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The method of vacuum vectors in the theory of Yang - Baxter equation | | I.G. Korepanov
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12 Oct 2000 | | Subject: | Exactly Solvable and Integrable Systems; Mathematical Physics; Quantum Algebra | nlin.SI cond-mat math-ph math.MP math.QA | | 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". | | Source: | arXiv, nlin.SI/0010024 | | Services: | Forum | Review | PDF | Favorites | |
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