Journal
THEORETICAL AND MATHEMATICAL PHYSICS
Volume 174, Issue 1, Pages 52-67Publisher
MAIK NAUKA/INTERPERIODICA/SPRINGER
DOI: 10.1007/s11232-013-0004-6
Keywords
integrable vertex model; R-matrix; transfer matrix; tau-function
Categories
Funding
- Russian Foundation for Basic Research [11-02-01220, 12-02-91052-CNRS, 12-02-92108-JSPS]
- Program for Supporting Leading Scientific Schools [NSh-3349.2012.2]
- Federal Agency for Science and Innovations of the Russian Federation [14.740.11.0081]
Ask authors/readers for more resources
We apply the recently proposed construction of the master T-operator to integrable vertex models and the associated quantum spin chains with trigonometric R-matrices. The master T-operator is a generating function for commuting transfer matrices of integrable vertex models depending on infinitely many parameters. It also turns out to be the tau-function of an integrable hierarchy of classical soliton equations in the sense that it satisfies the same bilinear Hirota equations. We characterize the class of solutions of the Hirota equations that correspond to eigenvalues of the master T-operator and discuss its relation to the classical Ruijsenaars-Schneider system of particles.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available