Poisson-Lie Structure of <i>0</i>(<i>n</i>) Non-Linear Sigma Model in Moving Frames

Wang Yanshen; Hou Boyu

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1994, Vol. 18> Issue(S4) : 345-355

Poisson-Lie Structure of 0(n) Non-Linear Sigma Model in Moving Frames

Wang Yanshen ,
Hou Boyu

Institute of Modem Physics, Northwest University, Xian, Shanxi, China

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Abstract：
The Poisson-Lie structure of non-linear σ-model is given in 0(n)/0(n-1) symmetric space,and the covariant relation between moving frame and fixed frame is discussed by making use of the method of covariant decomposition. It is clear that the field-dependence of the r and s matrices results from the connection of S^n-1 manifold.
- non-linear σ model ,
- symmetric space ,
- Poisson-Lie bracket

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Wang Yanshen and Hou Boyu. Poisson-Lie Structure of 0(n) Non-Linear Sigma Model in Moving Frames[J]. Chinese Physics C, 1994, 18(S4): 345-355.

Wang Yanshen and Hou Boyu. Poisson-Lie Structure of 0(n) Non-Linear Sigma Model in Moving Frames[J]. Chinese Physics C, 1994, 18(S4): 345-355. shu

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Received: 1993-06-28

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Poisson-Lie Structure of 0(n) Non-Linear Sigma Model in Moving Frames

Wang Yanshen
Hou Boyu

Institute of Modem Physics, Northwest University, Xian, Shanxi, China

Received Date: 1993-06-28

Abstract: The Poisson-Lie structure of non-linear σ-model is given in 0(n)/0(n-1) symmetric space,and the covariant relation between moving frame and fixed frame is discussed by making use of the method of covariant decomposition. It is clear that the field-dependence of the r and s matrices results from the connection of S^n-1 manifold.