MODULAR TRANSFORMATIONS OF SU(N) AFFINE CHARACTERS AND THEIR COMMUTANT

被引：8

作者：

BAUER, M

ITZYKSON, C

机构：

[1] Service de Physique Théorique de Saclay, Gif-sur-Yvette Cedex

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1990年 / 127卷 / 03期

关键词：

D O I：

10.1007/BF02104506

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We describe the algebra of matrices commuting with the action of the modular group on characters of SU(N)k integrable representations. Using methods of finite quantum mechanics we find a canonical basis for this commutant over ℂ and prove the existence of an equivalent basis over ℚ with integral matrix elements. A final section is devoted to the case of SU(3). © 1990 Springer-Verlag.

引用

页码：617 / 636

页数：20