Y(so(5)) symmtry of the nonlinear Schrodinger model with four-cmponents

Abstract

The quantum nonlinear Schrodinger(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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