Bogomol'nyi Equations for Vortices in Born-Infeld-Higgs Systems
Kiyoshi Shiraishi, Satoru Hirenzaki
TL;DR
This paper derives Bogomol'nyi equations for vortex solutions in Born-Infeld-Higgs systems, exploring specific potentials and supersymmetric extensions to understand vortex properties in nonlinear gauge theories.
Contribution
It introduces Bogomol'nyi equations for vortices in Born-Infeld-Higgs models, including a supersymmetric extension with nonlinear gauge-Higgs interactions.
Findings
Vortex solutions satisfy Bogomol'nyi equations under specific potentials.
Supersymmetric extension leads to nonlinear gauge-Higgs interactions.
Theoretical framework connects Born-Infeld theory with vortex solutions.
Abstract
We study vortex solutions in the Born-Infeld theory coupled with a complex scalar field. We show that for a specific form of the "Higgs" potential the vortex satisfies a set of Bogomol'nyi-type equations. Another model, with nonlinear interaction between gauge and Higgs fields, is also considered. We show how it is derived from a supersymmetric extension of the Born-Infeld theory with a minimally coupled complex scalar field.
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