The method of vacuum vectors in the theory of Yang - Baxter equation
| dc.creator | Korepanov, I. G. | |
| dc.date | 2000-10-12 | |
| dc.date.accessioned | 2026-07-07T05:33:04Z | |
| dc.date.available | 2026-07-07T05:33:04Z | |
| dc.description | 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". | |
| dc.description | LaTeX, 8 pages. English translation. Appeared in Russian in `Applied Problems in Calculus', Publishing House of Chelyabinsk Polytechnical Institute, Chelyabinsk, Russia, 1986, pages 39 - 48 | |
| dc.identifier | https://arxiv.org/abs/nlin/0010024 | |
| dc.identifier | http://arxiv.org/abs/nlin/0010024 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79877 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.subject | Condensed Matter | |
| dc.subject | Mathematical Physics | |
| dc.subject | Quantum Algebra | |
| dc.title | The method of vacuum vectors in the theory of Yang - Baxter equation | |
| dc.type | text |