Conformally Reduced WZNW Theory,New Extended Chiral Algebras and Their Associated Toda Type Integrable Systems (Ⅰ) General Framework

HOU Bo-Yu; ZHAO Liu

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2024年10月30日

Chinese Physics C> 1993, Vol. 17> Issue(1) : 28-37

Conformally Reduced WZNW Theory,New Extended Chiral Algebras and Their Associated Toda Type Integrable Systems (Ⅰ) General Framework

HOU Bo-Yu ^, ,
ZHAO Liu

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

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Abstract：
We propose and analyse a large class of conformal reductions Cons [g(H,d)] of WZNW theory based on the integral gradations of the underlying Lie algebra g.The W-bases of the associated W-algebras W[g(H,d)] are constru ted under the generalized Drinfeld-Sokolov gauge which we call O'Raifeartaigh gauge of the constrained Kac-Moody currents,and the equations of motion of the extended Toda type integrable systems corresponding to these Walgebras are derived also.

References

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HOU Bo-Yu and ZHAO Liu. Conformally Reduced WZNW Theory,New Extended Chiral Algebras and Their Associated Toda Type Integrable Systems (Ⅰ) General Framework[J]. Chinese Physics C, 1993, 17(1): 28-37.

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Received: 1900-01-01
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沈阳化工大学材料科学与工程学院沈阳 110142

Conformally Reduced WZNW Theory,New Extended Chiral Algebras and Their Associated Toda Type Integrable Systems (Ⅰ) General Framework

HOU Bo-Yu ^,
ZHAO Liu

Corresponding author: HOU Bo-Yu,

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

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1993-01-05

Abstract: We propose and analyse a large class of conformal reductions Cons [g(H,d)] of WZNW theory based on the integral gradations of the underlying Lie algebra g.The W-bases of the associated W-algebras W[g(H,d)] are constru ted under the generalized Drinfeld-Sokolov gauge which we call O'Raifeartaigh gauge of the constrained Kac-Moody currents,and the equations of motion of the extended Toda type integrable systems corresponding to these Walgebras are derived also.