Bogomol'nyi bounds and the supersymmetric Born-Infeld theory

S. GONORAZKY; C. NUNEZ; F.A. SCHAPOSNIK; G.A. SILVA

NUCLEAR PHYSICS B

Año: 1998 vol. 531 p. 168 - 184

0550-3213

We study N = 2 supersymmetric Born-Infeld-Higgs theory in three 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.