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 dime...
【基金】
This work was in part supported by the National science Foundation of China.
【更新日期】
2006-04-13
【分类号】
O 413.3;
【正文快照】
1 Introduetion Reeently there has been mueh progress in understing the existenee and Lie algebraiestueture of an infinite parameter hidden symmety inZ一d prineiple ehiral models[l一7〕and4一d self一dual Yang一Mills equations[,一1幻and the stationary axisy
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