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Y(so(5)) symmtry of the nonlinear Schr$\ddot{o}$dinger model with four-cmponents

Hong-Biao Zhang·Mo-Lin Ge·Kang Xue
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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.

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Hong-Biao Zhang, Mo-Lin Ge, Kang Xue. 2001-11-17. Y(so(5)) symmtry of the nonlinear Schr$\ddot{o}$dinger model with four-cmponents. https://doi.org/10.1088/0305-4470%2F34%2F4%2F316

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