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

Poisson-Lie Structure of0(n) Non-Linear Sigma Model in Moving Frames

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 rand smatrices results from the connection of S ^n-1manifold.
- non-linearσmodel,
- 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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沈阳化工大学材料科学与工程学院沈阳 110142

Poisson-Lie Structure of0(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-linearσ-model is given in0(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 therandsmatrices results from the connection ofS^n-1manifold.