Finite Chains with Quantum Affine Symmetries

Details Finite Chains with Quantum Affine Symmetries Finite Chains with Quantum Affine Symmetries

1993-07-15

arxiv.org/abs/hep-th/9307103v2

Int. Jour. Mod. Phys. A, Vol. 9 No. 19 (1994)

Physics

High Energy Physics

High Energy Physics - Theory

31pp, Latex, CERN-TH.6935/93. To app. in Int. Jour. Mod. Phys. A. (The title of the paper is changed. This is the ONLY change.

Scientific paper

10.1142/S0217751X94001370

We consider an extension of the (t-U) Hubbard model taking into account new interactions between the numbers of up and down electrons. We confine ourselves to a one-dimensional open chain with L sites (4^L states) and derive the effective Hamiltonian in the strong repulsion (large U) regime. This Hamiltonian acts on 3^L states. We show that the spectrum of the latter Hamiltonian (not the degeneracies) coincides with the spectrum of the anisotropic Heisenberg chain (XXZ model) in the presence of a Z field (2^L states). The wave functions of the 3^L-state system are obtained explicitly from those of the 2^L-state system, and the degeneracies can be understood in terms of irreducible representations of U_q(\hat{sl(2)}).

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