Spin Chain Hamiltonians with Affine $U_{q}g$ symmetry

Abstract

We construct the family of spin chain Hamiltonians, which have affine $U_{q}g$ guantum group symmetry. Their eigenvalues coincides with the eigenvalues of the usual spin chain Hamiltonians which have non-affine $U_q{g}_0$ quantum group symmetry, but have the degeneracy of levels, corresponding to affine $U_{q}g$. The space of states of these chaines are formed by the tensor product of the fully reducible representations.

10 pages, LATEX

References in corpus (1)

• Diagonalization of the XXZ Hamiltonian by Vertex Operators

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