Bicovariant calculus in quantum theory and a generalization of the Gauss law

被引：2

作者：

Bimonte, G

Marmo, G

Stern, A

机构：

[1] Univ Naples, Dipartimento Sci Fis, I-80125 Naples, Italy

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

[3] Univ Alabama, Dept Phys, Tuscaloosa, AL 35487 USA

来源：

PHYSICS LETTERS B | 2000年 / 478卷 / 1-3期

关键词：

quantum groups; bicovariant calculus; cotangent bundles;

D O I：

10.1016/S0370-2693(00)00245-8

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We construct a deformation of the quantum algebra Fun(T*G) associated with Lie group G to the case where G is replaced by a quantum group G(q) which has a bicovariant calculus. The deformation easily allows for the inclusion of the current algebra of left and right invariant one forms. We use it to examine a possible generalization of the Gauss law commutation relations for gauge theories based on G(q). (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：358 / 364

页数：7

共 15 条

[1] AN INTRODUCTION TO NONCOMMUTATIVE DIFFERENTIAL GEOMETRY ON QUANTUM GROUPS [J].