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中国物理学会期刊

活动标架系下以O(3)非线性σ模型Lax-pair矩阵的Poisson-Lie结构

CSTR: 32037.14.aps.43.1

POISSON-LIE STRUCTURE OF LAX-PAIR MATRIX OF INTEGRABLE CLASSICAL NON-LINEAR SIGMA MODEL UNDER THE MOVING FRAME

CSTR: 32037.14.aps.43.1
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  • 在O(3)/O(2)对称空间上给出了非线性σ模型的Poisson-Lie括号,用协变分解的方法讨论了活动标架与固定标架系的协变关系。

     

    We give out the Poisson-Lie brackets of non-linear σ model in O(3)/O(2) sy-mmetric space. Covariant properties from fixed frame to moving frame are discussed, in the process the covariant decomposing methods are used. The r-s-matrix independent of field except the connection of the space is found.

     

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