Spinorial R operator and Algebraic Bethe Ansatz

Abstract

We propose a new approach to the spinor-spinor R-matrix with orthogonal and symplectic symmetry. Based on this approach and the fusion method we relate the spinor-vector and vector-vector monodromy matrices for quantum spin chains. We consider the explicit spinor R matrices of low rank orthogonal algebras and the corresponding RTT algebras. Coincidences with fundamental R matrices allow to relate the Algebraic Bethe Ansatz for spinor and vector monodromy matrices.

arXiv comment25 pages, LaTex

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Cited by in corpus (4)

• Yang-Baxter R-operators for osp superalgebras
• Exact solutions of the $C_n$ quantum spin chain
• Algebraic Bethe ansatz for ${\mathfrak{o}}_{2n+1}$-invariant integrable models
• Representations of orthogonal and symplectic Yangians