Completing Bethe's Equations at Roots of Unity |
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Authors: | Klaus Fabricius Barry M McCoy |
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Institution: | (1) Physics Department, University of Wuppertal, 42097 Wuppertal, Germany;(2) C. N. Yang Institute for Theoretical Physics, State University of New York, Stony Brook, New York, 11794-3840 |
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Abstract: | In a previous paper we demonstrated that Bethe's equations are not sufficient to specify the eigenvectors of the XXZ model at roots of unity for states where the Hamiltonian has degenerate eigenvalues. We here find the equations which will complete the specification of the eigenvectors in these degenerate cases and present evidence that the sl
2 loop algebra symmetry is sufficiently powerful to determine that the highest weight of each irreducible representation is given by Bethe's ansatz. |
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Keywords: | Bethe's ansatz loop algebra quantum spin chain XXZ-model |
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