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arXiv:hep-th/9405023 · Physics Letters B

The highest weight property for the SUq(n) invariant spin chains

Hector J. de Vega, A. González-Ruiz

Published Jul 1, 1994• 26 citations
arXivHTMLPDF
DOI
10.1016/0370-2693(94)90868-0

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The authors discuss the XXZ spin chain with certain boundary terms and the representation of quantum group SU q (2). It is shown that Bethe ansatz states are highest-weight states of SU q (2). With a generic q they construct the irreducible representations of the quantum group. For q being a root of unity, they show that there are new Bethe ansatz states, which coincide with null states of SU q (2). By taking certain limits the authors can derive the state mod b), which is necessary for constructing the indecomposable but reducible representations of SU q (2) and for the completeness of the state space. In this case the Hamiltonian may not be completely diagonalized.