Bull. Korean Math. Soc. 2017; 54(3): 737-746
Online first article May 10, 2017 Printed May 31, 2017
https://doi.org/10.4134/BKMS.b151070
Copyright © The Korean Mathematical Society.
Ruifeng Zhang and Meili Zhu
College of Mathematics and Statistics Henan University, Chunlai Senior High School of Chunlai Eduction Group
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.
Keywords: non-Abelian gauge field, Chern--Simons vortex equation, ABJM mode, a fixed-point method
MSC numbers: 35J20, 35J50, 35Q
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