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Orthogonal and symplectic Yangians - linear and quadratic evaluations

arXiv:1712.06849 · doi:10.1016/j.nuclphysb.2018.05.022

Abstract

Orthogonal or symplectic Yangians are defined by the Yang-Baxter $RLL$ relation involving the fundamental $R$ matrix with $so(n)$ or $sp(2m)$ symmetry. Simple $L$ operators with linear or quadratic dependence on the spectral parameter exist under restrictive conditions. These conditions are investigated in general form.

21 pages