The Nested Off-shell Bethe ansatz and O(N) Matrix Difference Equations

Details The Nested Off-shell Bethe ansatz and O(N) Matrix Difference Equations The Nested Off-shell Bethe ansatz and O(N) Matrix Difference Equations

2012-04-16

arxiv.org/abs/1204.3479v1

Physics

Mathematical Physics

This paper contains detailed proofs and pictures which were shortened or skipped in JPA45 (2012) 055207, 40 pages

Scientific paper

A system of O(N)-matrix difference equations is solved by means of the off-shell version of the nested algebraic Bethe ansatz. In the nesting process a new object, the $\Pi$-matrix, is introduced to overcome the complexities of the O(N) group structure. The proof of the main theorem is presented in detail. In particular, the cancellation of all unwanted terms is shown explicitly. The highest weight property of the solutions is proved.

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