On nonlinear self-duality in $4p$ dimensions

TL;DR

This paper extends the concept of self-dual nonlinear electrodynamics from four dimensions to higher even dimensions, constructing new models and analyzing their duality properties.

Contribution

It demonstrates that all four-dimensional self-dual models can be extended to higher dimensions and introduces new self-dual theories for gauge (2p-1)-forms.

Findings

Every 4D self-dual model has a U(1) duality-invariant extension to 4p dimensions.

Constructed new self-dual nonlinear theories for gauge (2p-1)-forms.

Identified a family of models where the energy-momentum tensor trace governs duality-invariant flow.

Abstract

Building on the earlier work by Araki and Tanii, Aschieri et al., and Buratti et al., we demonstrate that every model for self-dual nonlinear electrodynamics in four dimensions has a $\mathsf{U}(1)$ duality-invariant extension to $4p>4$ dimensions and construct new self-dual nonlinear theories for a gauge $(2p-1)$-form. We present a family of models for self-dual $(2p-1)$-form electrodynamics in which the trace of the energy-momentum tensor determines the flow with respect to a duality-invariant deformation parameter.