Field theory on the q-deformed fuzzy sphere I

被引：45
|
作者：
Grosse, H
Madore, J
Steinacker, H
机构：
[1] Univ Munich, Sekt Phys, D-80333 Munich, Germany
[2] Univ Paris Sud, Phys Theor & Hautes Energies Lab, F-91405 Orsay, France
[3] Max Planck Inst Phys & Astrophys, D-80805 Munich, Germany
[4] Univ Vienna, Inst Theoret Phys, A-1090 Vienna, Austria
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2001年 / 38卷 / 3-4期
关键词：
fuzzy sphere; quantum group; gauge theory;
D O I：
10.1016/S0393-0440(00)00068-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the q-deformed fuzzy sphere, which is related to D-branes on SU(2) WZW models, for both real q and q a root of unity. We construct for both cases a differential calculus which is compatible with the star structure, study the integral, and find a canonical frame of one-forms. We then consider actions for scalar field theory, as well as for Yang-Mills and Chern-Simons-type gauge theories. The zero curvature condition is solved. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：308 / 342
页数：35
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