Multiplicity A_m Models
solv-int
2007-05-23 v3 Condensed Matter
Quantum Algebra
Exactly Solvable and Integrable Systems
Abstract
Models generalizing the su(2) XX spin-chain were recently introduced. These XXC models also have an underlying su(2) structure. Their construction method is shown to generalize to the chains based on the fundamental representations of the A_m Lie algebras. Integrability of the new models is shown in the context of the quantum inverse scattering method. Their R-matrix is found and shown to yield a representation of the Hecke algebra. The diagonalization of the transfer matrices is carried out using the algebraic Bethe Ansatz. I comment on eventual generalizations and possible links to reaction-diffusion processes.
Keywords
Cite
@article{arxiv.solv-int/9805009,
title = {Multiplicity A_m Models},
author = {Z. Maassarani},
journal= {arXiv preprint arXiv:solv-int/9805009},
year = {2007}
}
Comments
11 pages, Latex, one figure. Some clarifications added