Existence of solutions to relativistic non-Abelian Chern-Simons-Higgs vortex equations on graphs

Abstract

Let G=(V,E) be a connected finite graph. We study the relativistic non-Abelian Chern-Simons-Higgs vortex equations on the graph G. We establish an existence result to the relativistic non-Abelian Chern-Simons-Higgs vortex equations.

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