Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-01-24
Nucl.Phys. B424 (1994) 468-486
Physics
High Energy Physics
High Energy Physics - Theory
Latex, 24 pages. Some new comments and references. Final version to appear in Nucl. Phys. B
Scientific paper
10.1016/0550-3213(94)90403-0
We consider integrable open--boundary conditions for the supersymmetric t--J model commuting with the number operator $n$ and $S^{z}$. Four families, each one depending on two arbitrary parameters, are found. We find the relation between Sklyanin's method of constructing open boundary conditions and the one for the quantum group invariant case based on Markov traces. The eigenvalue problem is solved for the new cases by generalizing the Nested Algebraic Bethe ansatz of the quantum group invariant case (which is obtained as a special limit). For the quantum group invariant case the Bethe ansatz states are shown to be highest weights of $spl_{q}(2,1)$.
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