QUANTUM GROUP GAUGE-THEORY ON QUANTUM SPACES

被引：188

作者：

BRZEZINSKI, T

MAJID, S

机构：

[1] Department of Applied Mathematics and Theoretical Physics, University of Cambridge

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1993年 / 157卷 / 03期

关键词：

D O I：

10.1007/BF02096884

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We construct quantum group-valued canonical connections on quantum homogeneous spaces, including a q-deformed Dirac monopole on the quantum sphere of Podles with quantum differential structure coming from the 3D calculus of Woronowicz on SU(q)(2). The construction is presented within the setting of a general theory of quantum principal bundles with quantum group (Hopf algebra) fibre, associated quantum vector bundles and connection one-forms. Both the base space (spacetime) and the total space are non-commutative algebras (quantum spaces).

引用

页码：591 / 638

页数：48

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