Symmetries of spin systems and Birman-Wenzl-Murakami algebra
Exactly Solvable and Integrable Systems
2010-05-21 v3 High Energy Physics - Theory
Quantum Algebra
Abstract
We consider integrable open spin chains related to the quantum affine algebras U_q(o(3)) and U_q(A_2^{(2)}). We discuss the symmetry algebras of these chains with the local C^3 space related to the Birman-Wenzl-Murakami algebra. The symmetry algebra and the Birman-Wenzl-Murakami algebra centralize each other in the representation space, and this defines the structure of the spin system spectra. Consequently, the corresponding multiplet structure of the energy spectra is obtained.
Keywords
Cite
@article{arxiv.0910.4036,
title = {Symmetries of spin systems and Birman-Wenzl-Murakami algebra},
author = {P. P. Kulish and N. Manojlovic and Z. Nagy},
journal= {arXiv preprint arXiv:0910.4036},
year = {2010}
}
Comments
22 pages; typos corrected