Uniqueness of Bogomol'nyi equations and Born-Infeld like supersymmetric theories

Abstract

We discuss Bogomol'nyi equations for general gauge theories (depending on the two Maxwell invariants $F^{\mu \nu }{F}_{\mu \nu }$ and ${\tilde{F}}^{\mu \nu }{F}_{\mu \nu }$) coupled to Higgs scalars. By analysing their supersymmetric extension, we explicitly show why the resulting BPS structure is insensitive to the particular form of the gauge Lagrangian: Maxwell, Born-Infeld or more complicated non-polynomial Lagrangians all satisfy the same Bogomol'nyi equations and bounds which are dictated by the underlying supersymmetry algebra.

10 pages, Latex

References in corpus (8)

• On non-abelian generalisation of Born-Infeld action in string theory
• 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
• Self-dual vortices in a Maxwell-Chern-Simons model with non-minimal coupling
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Cited by in corpus (10)

• Supersymmetric Non-Abelian Born-Infeld Theory
• Monopoles in non-Abelian Dirac-Born-Infeld Theory
• New non-Abelian black hole solutions in Born-Infeld gravity
• Monopoles, Dyons and Theta Term in Dirac-Born-Infeld Theory
• Non-Abelian generalization of Born-Infeld theory inspired by non-commutative geometry
• Supersymmetric Dirac-Born-Infeld theory in noncommutative space
• Monopoles in non-Abelian Einstein-Born-Infeld Theory
• String Partition Functions and Infinite Products
• Interacting D2-branes in 10 dimensions and non abelian Born-Infeld theory
• Born-Infeld action and Supersymmetry (in spanish)