Bogomol'nyi Bounds and the Supersymmetric Born-Infeld Theory
S.Gonorazky, C.N\'u\~nez, F.A.Schaposnik, G.Silva
TL;DR
This paper explores the N=2 supersymmetric Born-Infeld-Higgs theory in 3D, deriving Bogomol'nyi bounds and relations that connect supersymmetry, vortex solutions, and a unique Higgs-gauge coupling dictated by the Born-Infeld action.
Contribution
It introduces a novel supersymmetric Born-Infeld-Higgs model in three dimensions and derives Bogomol'nyi relations and bounds from supersymmetry algebra.
Findings
Derived Bogomol'nyi relations in the bosonic sector.
Identified a unique Higgs-gauge coupling enforced by supersymmetry.
Established that vortex energy bounds follow from N=2 supersymmetry algebra.
Abstract
We study N=2 supersymmetric Born-Infeld-Higgs theory in 3 dimensions and derive Bogomol'nyi relations in its bosonic sector. A peculiar coupling between the Higgs and the gauge field (with dynamics determined by the Born-Infeld action) is forced by supersymmetry. The resulting equations coincide with those arising in the Maxwell-Higgs model. Concerning Bogomol'nyi bounds for the vortex energy, they are derived from the N=2 supersymmetry algebra.
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