Bogomolʹnyi bounds and the supersymmetric Born-Infeld theory Original Research Article

We study N = 2 supersymmetric Born-Infeld-Higgs theory in three dimensions and derive Bogomolʹnyi 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 Bogomolʹnyi bounds for the vortex energy, they are derived from the N = 2 supersymmetry algebra.