학술논문

Existence theorem for non-Abelian vortices in the Aharony-Bergman-Jafferis-Maldacena theory
Document Type
Article
Source
대한수학회보, 54(3), pp.737-746 May, 2017
Subject
수학
Language
English
ISSN
2234-3016
1015-8634
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.