Spinorial R operator and Algebraic Bethe Ansatz
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 al...
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| creator | Karakhanyan, D Kirschner, R |
| description | 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. |
| doi_str_mv | 10.48550/arxiv.1911.08385 |
| format | Article |
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| subjects | Mathematical analysis Mathematics - Mathematical Physics Mathematics - Quantum Algebra Matrix algebra Matrix methods Operators (mathematics) Physics - High Energy Physics - Theory Physics - Mathematical Physics |
| title | Spinorial R operator and Algebraic Bethe Ansatz |
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