Fusion rules for Quantum Transfer Matrices as a Dynamical System on Grassmann Manifolds
solv-int
2009-10-30 v1 High Energy Physics - Theory
Quantum Algebra
Exactly Solvable and Integrable Systems
q-alg
Abstract
We show that the set of transfer matrices of an arbitrary fusion type for an integrable quantum model obey these bilinear functional relations, which are identified with an integrable dynamical system on a Grassmann manifold (higher Hirota equation). The bilinear relations were previously known for a particular class of transfer matrices corresponding to rectangular Young diagrams. We extend this result for general Young diagrams. A general solution of the bilinear equations is presented.
Keywords
Cite
@article{arxiv.solv-int/9704015,
title = {Fusion rules for Quantum Transfer Matrices as a Dynamical System on Grassmann Manifolds},
author = {O. Lipan and P. B. Wiegmann and A. Zabrodin},
journal= {arXiv preprint arXiv:solv-int/9704015},
year = {2009}
}
Comments
LaTex (MPLA macros included) 10 pages, 1 figure, included in the text