Y(so(5)) symmtry of the nonlinear Schr$\ddot{o}$dinger model with four-cmponents
arXiv:math-ph/0111030 · doi:10.1088/0305-4470/34/4/316
Abstract
The quantum nonlinear Schr$\ddot{o}$dinger(NLS) model with four-component fermions exhibits a $Y(so(5))$ symmetry when considered on an infintite interval. The constructed generators of Yangian are proved to satisfy the Drinfel'd formula and furthermore, the $RTT$ relation with the general form of rational R-matrix given by Yang-Baxterization associated with $so(5)$ algebraic structure.
10 pages, no figures