Corner Transfer Matrices and Quantum Affine Algebras
High Energy Physics - Theory
2009-10-22 v1 Exactly Solvable and Integrable Systems
solv-int
Abstract
Let H be the corner-transfer-matrix Hamiltonian for the six-vertex model in the anti-ferroelectric regime. It acts on the infinite tensor product W = V . V . V ....., where is the 2-dimensional irreducible representation of the quantum affine sl(2). We observe that H is the derivation of quantum affine sl(2), and conjecture that the eigenvectors of H form the level-1 vacuum representation of quantum affine sl(2). We report on checks in support of our conjecture.
Keywords
Cite
@article{arxiv.hep-th/9204068,
title = {Corner Transfer Matrices and Quantum Affine Algebras},
author = {Omar Foda and Tetsuji Miwa},
journal= {arXiv preprint arXiv:hep-th/9204068},
year = {2009}
}
Comments
23 pages