Symmetries of spin systems and Birman-Wenzl-Murakami 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.

22 pages; typos corrected

References in corpus (1)

• Quantum symmetry algebras of spin systems related to Temperley-Lieb R-matrices

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