Existence theorem for non-Abelian vortices in the Aharony--Bergman--Jafferis--Maldacena theory
Bull. Korean Math. Soc. 2017 Vol. 54, No. 3, 737-746
https://doi.org/10.4134/BKMS.b151070
Published online May 31, 2017
Ruifeng Zhang and Meili Zhu
College of Mathematics and Statistics Henan University, Chunlai Senior High School of Chunlai Eduction Group
Abstract : 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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