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arXiv · 1911.08385

Spinorial R operator and Algebraic Bethe Ansatz

D. Karakhanyan·R. Kirschner
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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.

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BibTeXRIS

D. Karakhanyan, R. Kirschner. 2019-11-19. Spinorial R operator and Algebraic Bethe Ansatz. https://doi.org/10.1016/j.nuclphysb.2019.114905

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