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http://dx.doi.org/10.4134/BKMS.b151070

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

Zhang, Ruifeng (Institute of Contemporary Mathematics Henan University College of Mathematics and Statistics Henan University)
Zhu, Meili (Chunlai Senior High School of Chunlai Eduction Group)
Publication Information
Bulletin of the Korean Mathematical Society / v.54, no.3, 2017 , pp. 737-746 More about this Journal
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;
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