Principal fibrations from noncommutative spheres

被引：43

作者：

Landi, G

van Suijlekom, W

机构：

[1] Univ Trieste, Dipartimento Matemat & Informat, I-34127 Trieste, Italy

[2] Ist Nazl Fis Nucl, Sez Napoli, I-80125 Naples, Italy

[3] Scuola Int Super Studi Avanzati, I-34014 Trieste, Italy

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2005年 / 260卷 / 01期

关键词：

D O I：

10.1007/s00220-005-1377-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We construct noncommutative principal fibrations S-theta(7) -> S-theta(4) which are deformations of the classical SU(2) Hopf fibration over the four sphere. We realize the noncommutative vector bundles associated to the irreducible representations of SU(2) as modules of coequivariant maps and construct corresponding projections. The index of Dirac operators with coefficients in the associated bundles is computed with the Connes-Moscovici local index formula. "The algebra inclusion A(S-theta(4)) hooked right arrow A(S-theta(7)) is an example of a not-trivial quantum principal bundle."

引用

页码：203 / 225

页数：23