EXISTENCE THEOREM FOR NON-ABELIAN VORTICES IN THE AHARONY-BERGMAN-JAFFERIS-MALDACENA THEORY

被引：0

作者：

Zhang, Ruifeng ^{[1
]}

Zhu, Meili ^{[2
]}

机构：

[1] Henan Univ, Coll Math & Stat, Inst Contemporary Math, Kaifeng 475001, Peoples R China

[2] Chunlai Educ Grp, Chunlai Senior High Sch, Shangqiu 476000, Peoples R China

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2017年 / 54卷 / 03期

关键词：

non-Abelian gauge field; Chern-Simons vortex equation; ABJM mode; a fixed-point method; SIMONS; VORTEX;

D O I：

10.4134/BKMS.b151070

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we discuss the existence theorem for multiple vortex solutions in the non-Abelian Chern-Simons-Higgs field theory developed by Aharony, Bergman, Jafferis, and Maldacena, on a doubly periodic domain. The governing equations are of the BPS type and derived by Auzzi and Kumar in the mass-deformed framework labeled by a continuous parameter. Our method is based on fixed point method.

引用

页码：737 / 746

页数：10

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