The Yangian associated with so(6) and its applications

Hong Biao Zhang; Li Jun Tian; Guo Hong Yang; Shuo Jin; Mo Lin Ge

The Yangian associated with so(6) and its applications

Hong Biao Zhang^*
, Li Jun Tian
, Guo Hong Yang
, Shuo Jin
, Mo Lin Ge

^*Corresponding author for this work

School of Physics

Northeast Normal University
Shanghai University
Nankai University

Research output: Contribution to journal › Article › peer-review

Abstract

The generators constructed for the Yangian are shown to obey the Drinfel'd formula and, furthermore, the RTT relation for the general form of a rational R-matrix is given by the Yang-Baxterization associated with the so(6) algebraic structure. Moreover the simplified relations of Y(so(6)) can be extended to Y(so(N)). The nonlinear Schrödinger model with four-component fermions possesses a Y(so(6)) symmetry when considered on an infinite interval.

Original language	English
Pages (from-to)	327-340
Number of pages	14
Journal	Chinese Journal of Physics
Volume	44
Issue number	5
State	Published - Oct 2006

Cite this

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title = "The Yangian associated with so(6) and its applications",

abstract = "The generators constructed for the Yangian are shown to obey the Drinfel'd formula and, furthermore, the RTT relation for the general form of a rational R-matrix is given by the Yang-Baxterization associated with the so(6) algebraic structure. Moreover the simplified relations of Y(so(6)) can be extended to Y(so(N)). The nonlinear Schr{\"o}dinger model with four-component fermions possesses a Y(so(6)) symmetry when considered on an infinite interval.",

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AU - Zhang, Hong Biao

AU - Tian, Li Jun

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AU - Jin, Shuo

AU - Ge, Mo Lin

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Y1 - 2006/10

N2 - The generators constructed for the Yangian are shown to obey the Drinfel'd formula and, furthermore, the RTT relation for the general form of a rational R-matrix is given by the Yang-Baxterization associated with the so(6) algebraic structure. Moreover the simplified relations of Y(so(6)) can be extended to Y(so(N)). The nonlinear Schrödinger model with four-component fermions possesses a Y(so(6)) symmetry when considered on an infinite interval.

AB - The generators constructed for the Yangian are shown to obey the Drinfel'd formula and, furthermore, the RTT relation for the general form of a rational R-matrix is given by the Yang-Baxterization associated with the so(6) algebraic structure. Moreover the simplified relations of Y(so(6)) can be extended to Y(so(N)). The nonlinear Schrödinger model with four-component fermions possesses a Y(so(6)) symmetry when considered on an infinite interval.

UR - https://www.scopus.com/pages/publications/33750049955

M3 - 文章

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SN - 0577-9073

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JO - Chinese Journal of Physics

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The Yangian associated with so(6) and its applications

Abstract

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