On Duality in the Born-Infeld Theory

TL;DR

This paper develops an $SL(2,R)$ duality symmetric formulation of the Born-Infeld theory with two potentials and background fields, analyzing its Hamiltonian structure and demonstrating equivalence to the standard theory.

Contribution

It introduces a duality symmetric action for Born-Infeld theory using two potentials and background fields, expanding the theoretical framework.

Findings

Established $SL(2,R)$ duality symmetric action for Born-Infeld theory.

Analyzed Hamiltonian structure of the duality symmetric formulation.

Proved equivalence with the standard 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.