On Duality in the Born-Infeld Theory

Abstract

The $SL(2,R)$ duality symmetric action for the Born-Infeld theory in terms of two potentials, coupled with non-trivial backgroud fields in four dimensions is established. This construction is carried out in detail by analysing the hamiltonian structure of the Born-Infeld theory. The equivalence with the usual Born-Infeld theory is shown.

revtex, 4 pages

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• Dynamics of BPS States in the Dirac-Born-Infeld Theory
• SL(2, Z) Duality and 4-Dimensional Noncommutative Theories
• Duality for symmetric second rank tensors.(I): the massive case
• Self-duality in Super D3-brane Action
• Electric-Magnetic Duality Rotations and Invariance of Actions
• Self-Duality of a Topologically Massive Born-Infeld Theory
• Static potential in a topologically massive Born-Infeld theory
• Born sigma model for branes in exceptional geometry
• Coulomb's law modification in nonlinear and in noncommutative electrodynamics
• Supergravity Solutions for BI Dyons
• World-volume Solitons of the D3-brane in the Background of (p,q) Five-branes
• Off-Shell Duality in Born-Infeld Theory
• Duality invariance in massive theories
• Supersymmetric Action of SL(2;Z)-covariant D3-brane and its Kappa-symmetry
• Born-Infeld Electrodynamics and Euler-Heisenberg-like Model: outstanding examples of the lack of commutativity among quantized truncated actions and truncated quantized actions
• Dual formulation of covariant nonlinear duality-symmetric action of kappa-symmetric D3-brane
• Extended Self-Dual Configurations as Stable Exact Solutions in Born-Infeld Theory
• Interacting D2-branes in 10 dimensions and non abelian Born-Infeld theory