Correspondence between the XXZ model in roots of unity and the onedimensional quantum Ising chain with different boundary conditions
Abstract
We consider the integrable XXZ model with special open boundary conditions that renders its Hamiltonian SU(2)_{q} symmetric, and the onedimensional quantum Ising model with four different boundary conditions. We show that for each boundary condition the Ising quantum chain is given exactly by the minimal model of integrable lattice theory LM(3,4). This theory is obtained as the result of the quantum group reduction of the XXZ model at anisotropy Δ = (q + q^{1})/2 = (2)^{1/2}/2, with a number of sites that depends on the type of imposed boundary condition.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 January 2001
 DOI:
 10.1088/03054470/34/2/301
 arXiv:
 arXiv:hepth/0007151
 Bibcode:
 2001JPhA...34..211A
 Keywords:

 High Energy Physics  Theory
 EPrint:
 23 pages,LaTeX,3 tables,corrected some typos