BERRY CONNECTIONS AS YANG-MILLS CONNECTIONS ON CP(2)

被引:0
|
作者
IWAI, T
机构
[1] Department of Applied Mathematics and Physics, Kyoto University, Kyoto
关键词
D O I
10.1016/0375-9601(92)90540-3
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A U(2) Yang-Mills connection on CP2, which was obtained by Hogan, is reobtained as a Berry connection on a complex vector bundle with fibre C2 over CP2. The u(2) curvature form proves to be neither self-dual nor anti-self-dual. Moreover, the su(2) part cannot be singled out, because of the irreducibility of the structure group U(2) to SU(2). Chern class numbers are computed as well as the action integral.
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页码:89 / 93
页数:5
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