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Generalisations of the Russo-Townsend formulation

Abstract

As a generalisation of the recent construction by Russo and Townsend, we propose a new approach to generate duality-invariant models for nonlinear electrodynamics. It is based on the use of two building blocks: (i) a fixed (but otherwise arbitrary) model for self-dual nonlinear electrodynamics with Lagrangian depending on a duality-invariant parameter ; and (ii) an arbitrary potential , with an auxiliary scalar field. It turns out that the model leads to a self-dual theory for nonlinear electrodynamics upon elimination of . As an illustration, we work out an example in which the seed Lagrangian corresponds to the Born-Infeld model and a particular potential is chosen such that integrating out gives the ModMaxBorn theory. We also briefly discuss supersymmetric generalisations of the proposed formulation.