Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2000-10-12
Nonlinear Sciences
Exactly Solvable and Integrable Systems
LaTeX, 8 pages. English translation. Appeared in Russian in `Applied Problems in Calculus', Publishing House of Chelyabinsk Po
Scientific paper
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".
No associations
LandOfFree
The method of vacuum vectors in the theory of Yang - Baxter equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The method of vacuum vectors in the theory of Yang - Baxter equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The method of vacuum vectors in the theory of Yang - Baxter equation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-84097