WZNW模型的共形约化,扩展的手征代数及相应的Toda类可积模型(Ⅰ)一般构架

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

利用李代数■的整数阶化,我们研究了一大批共形约化WZNW模型的方案Cons[■(H,d)]。在正规约束的条件下,构造了W代数W[■(H,d)]的基——约束Kac-Moody流的O'Raifeartaigh规范,并导出了相应于每个W代数的广义Toda类可积模型的运动方程。

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.