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

Wang Yanshen; Hou Boyu

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2024年10月30日

Chinese Physics C> 1994, Vol. 18> Issue(10) : 892-901

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

Wang Yanshen ^, ,
Hou Boyu

The Institute of Modern Physics,Northwest University,Xi'an 710069

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Abstract：
The Poisson-Lie structure of non-linear -model is given in O(n)/O(n-1)symmetry space,and the covariant relation between moving frame and fixed frame is discussed using 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.

References

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A.M.Polyakov,Phys.Lett.,59B（1975）79;M.Luscher,Nucl.Phys.,B135（1978）1;M.Luscher and K.Pohlmeyer,Nucl.Phys.,B137（1978）46;H.Eichenherr and M.Foryer,Nucl.Phys.,B155（1979）381;H.de.Vega,Phys.Lett,,87B（1979）233.[2]J.M.Maillet,Phys.Lett.,162B（1985）137;J.M.Maillet,Nucl.Phys.,B269（1986）54.[3]H.Eichenherr,M.Forger,Nucl.Phys.,B164（1980）528;M.Forger,M.Bordemann,J.Laartz,U.Schaper,TheLie-Poisson Structure of Integrable Classical Non-Linear Sigma Models.Freiburg University preprint THEP91/11.[4]BoyuHou,BoyuanHou and PeiWang,J.Phys.A.Math.Gen.,18（1985）165.[5]E.Brezin et al,Phys.Lett.,82B（1979）442.[6]侯伯元、侯伯宇，物理学家用微分几何，（1990）,科学出版社，220.[7]王延申、杨文力、杨焕雄、侯伯宇，物理学报，43（1994）175;43（199）185.

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Wang Yanshen and Hou Boyu. The Poisson-Lie Structure of O(n) Non-Linear Sigma Model in Moving Frames[J]. Chinese Physics C, 1994, 18(10): 892-901.

Wang Yanshen and Hou Boyu. The Poisson-Lie Structure of O(n) Non-Linear Sigma Model in Moving Frames[J]. Chinese Physics C, 1994, 18(10): 892-901. shu

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Received: 1900-01-01
Revised: 1900-01-01

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

Wang Yanshen ^,
Hou Boyu

Corresponding author: Wang Yanshen,

The Institute of Modern Physics,Northwest University,Xi'an 710069

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1994-10-05

Abstract: The Poisson-Lie structure of non-linear -model is given in O(n)/O(n-1)symmetry space,and the covariant relation between moving frame and fixed frame is discussed using 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.