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BPS chiral vortices in a Maxwell-Higgs electrodynamics

2024/02/28 by Andrade, J., Casana, Rodolfo, da Hora, E.
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2402.18517

Abstract

We investigate the existence of BPS structures in a Maxwell-Higgs electrodynamics immersed within a chiral medium, whose electromagnetic properties are described by both the Chern-Simons term and a neutral scalar field. The implementation of the Bogomol'nyi-Prasad-Sommerfield's technique provides the BPS potential and the self-dual equations whose solutions saturate the Bogomol'nyi bound. In such a context, we look for vortices in two chiral media: the first one engenders localized vortices with an exponential decay similar to that of the Abrikosov-Nielsen-Olesen solutions, whereas the second medium generates delocalized profiles whose tail follows a power-law decay. Once we have solved the BPS systems, we comment on the effects induced by the presence of the chiral medium on the Maxwell-Higgs vortices.

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