Bogomol'nyi Bounds and the Supersymmetric Born-Infeld Theory

Details Bogomol'nyi Bounds and the Supersymmetric Born-Infeld Theory Bogomol'nyi Bounds and the Supersymmetric Born-Infeld Theory

1998-05-11

arxiv.org/abs/hep-th/9805054v1

Nucl.Phys. B531 (1998) 168-184

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, Latex file

Scientific paper

10.1016/S0550-3213(98)00534-3

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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