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arXiv:math-ph/0409076 · Czechoslovak Journal of Physics

On osp(M?2n) Integrable Open Spin Chains

D. Arnaudon, Nicolas Crampé, Anastasia Doikou, L. Frappat, �. Ragoucy, Jean Avan

Published Nov 1, 2004• 1 citation
arXivHTMLPDF
DOI
10.1007/s10582-004-9772-4

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Abstract Based on the Lax pair formulation, we study the integrable conditions of the Osp(1∣2) spin chain with open boundaries. We consider both the non-graded and graded versions of the Osp(1∣2) chain. The Lax pair operators M ± for the boundaries can be induced by the Lax operator M j for the bulk of the system. They correspond to the reflection equations (RE) and the Yang–Baxter equation, respectively. We further calculate the boundary K-matrices for both the non-graded and graded versions of the model with open boundaries. The double row monodromy matrix and transfer matrix of the spin chain have also been constructed. The K-matrices obtained from the Lax pair formulation are consistent with those from Sklyanin’s RE. This construction is another way to prove the quantum integrability of the Osp(1∣2) chain. We find that the Lax pair formulation has advantages in dealing with the boundary terms of the supersymmetric model.