Bogomol'nyi Bounds and the Supersymmetric Born-Infeld Theory

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.

24 pages, Latex file

References in corpus (6)

• Born-Infeld particles and Dirichlet p-branes
• Brane Dynamics From the Born-Infeld Action
• Lectures on D-branes
• BPS Bounds for Worldvolume Branes
• Bogomol'nyi Equations for Vortices in Born-Infeld-Higgs Systems
• Electrically Charged Vortex Solution in Born-Infeld Theory

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• Non abelian N=2 supersymmetric Born Infeld action
• Supersymmetric Dirac-Born-Infeld theory in noncommutative space
• Self-Dual Non-Abelian Vector Multiplet in Three Dimensions
• Duality in nonlinear B$\wedge$F models: equivalence between self-dual and topologically massive Born-Infeld B$\wedge$F models
• Supersymmetric Gauged $O(3)$ Sigma Model and Self-dual Born-Infeld Theory
• Self-Dual Supersymmetric Dirac-Born-Infeld Action