Spin Chain Hamiltonians with Affine Uq g symmetry
Abstract
We construct the family of spin chain Hamiltonians, which have affine Uq g guantum group symmetry. Their eigenvalues coincides with the eigenvalues of the usual spin chain Hamiltonians which have non-affine Uq g0 quantum group symmetry, but have the degeneracy of levels, corresponding to affine Uq g. The space of states of these chaines are formed by the tensor product of the fully reducible representations.
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