U (1) x U (1) Chern-Simons vortices in line bundles over a compact Riemann surface

被引：0
作者：
Nam, Kwan Hui [1 ]
机构：
[1] Hankuk Univ Foreign Studies, Dept Math, Yongin 449791, Gyeonggi Do, South Korea
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2014年 / 75卷
关键词：
U (1) x U (1) Chern-Simons vortex; Line bundle; Riemann surface; EXISTENCE; EQUATIONS; FIELDS; MODEL;
D O I：
10.1016/j.geomphys.2013.08.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The relativistic U (1) x U (1) Chern-Simons model with two Higgs particles and two gauge fields has been studied in R-2 and on a flat torus. We formulate a model for line bundles over a compact Riemann surface, and prove an existence theorem for the induced system of self-dual Chern-Simons vortex equations. (C) 2013 Elsevier B.V. All rights reserved.
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页码：48 / 54
页数：7
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