Electric-dual BPS vortices in the generalized self-dual Maxwell-Chern-Simons-Higgs model

Abstract In this paper we show how to derive the Bogomolny’s equations of generalized self-dual Maxwell-Chern-Simons-Higgs model presented in [10] by using BPS Lagrangian method with a particular choice density. We also that identification, potential terms, and Gauss’s law constraint can be derived rigorously under method. method, find terms are most general form could have vortex solutions. The turns out Euler–Lagrange another solutions taking other identification between neutral scalar field electric field, N = ± A 0 , which is different relative sign [10], ∓ . Under obtain slightly compared ones [10]. Furthermore compute numerically, same configurations as only resulting plots differ results Therefore conclude these vortices electric-dual computed