Exact solution of the $SU_{q}(n)$ invariant quantum spin chains

Details Exact solution of the $SU_{q}(n)$ invariant quantum spin chains Exact solution of the $SU_{q}(n)$ invariant quantum spin chains

1993-09-03

arxiv.org/abs/hep-th/9309022v1

Nucl.Phys. B417 (1994) 553-578

Physics

High Energy Physics

High Energy Physics - Theory

29 pages

Scientific paper

10.1016/0550-3213(94)90484-7

The Nested Bethe Ansatz is generalized to open boundary conditions. This is used to find the exact eigenvectors and eigenvalues of the $A_{n-1}$ vertex model with fixed open boundary conditions and the corresponding $SU_{q}(n)$ invariant hamiltonian. The Bethe Ansatz equations obtained are solved in the thermodynamic limit giving the vertex model free energy and the hamiltonian ground state energy including the corresponding boundary contributions.

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