Spinorial R operator and Algebraic Bethe Ansatz
Mathematical Physics
2020-04-22 v1 High Energy Physics - Theory
math.MP
Quantum Algebra
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.
Keywords
Cite
@article{arxiv.1911.08385,
title = {Spinorial R operator and Algebraic Bethe Ansatz},
author = {D. Karakhanyan and R. Kirschner},
journal= {arXiv preprint arXiv:1911.08385},
year = {2020}
}
Comments
25 pages, LaTex