超O(3)非线性σ场中无穷隐藏保形对称性

INFINITE HIDDEN CONFORMAL SYMMETRIES IN THE MODEL OF THE SUPER O (3)NON—LINEAR SIGMA FIELDS

本文讨论了超0(3)非线性σ模型场中的在转动变换及对偶变换下的对称性;具体给出了参数化的B—T变换;引入了两种无穷小隐藏对称变换,并证实发该模型中存在的Kac—Moody对称及无穷保形对称。最后,我们得到了基本场的代数结构及Kac—Moody代数与无穷维保形李代数间的半直积代数。

Here the symmetry is discussed in the model of the supper O(3)non-linearsigma fields under a rotation transformation and a dual trandformation. The para-metric Bianchi-Backlund transformations are explicitly given. Two infinitesimalhidden symmetry transformations are introduced to confirm the existence of the Kac-Moody symmetry and the infinite conformal symmetry in the model. We obtainthe algebraic structure of the basic fields and the semi-product algebra betweenthe Kac-Moody algebra and the infinite dimensional conformal Lie abgebra.