Nonlinear electrodynamics with the maximum allowable symmetries

TL;DR

This paper discusses a generalized nonlinear electrodynamics theory that maintains both conformal invariance and SO(2) duality-rotation symmetry, building on recent discoveries in the field.

Contribution

The paper provides a simplified derivation of a nonlinear electrodynamics theory that preserves key symmetries, extending previous work by Bandos et al.

Findings

Maxwell's electrodynamics can be generalized to nonlinear theories with maximum symmetries.

The derivation of such theories can be simplified.

The theory preserves conformal and SO(2) duality symmetries.

Abstract

Recently Bandos, Lechner, Sorokin, and Townsend [arXiv:2007.09092] have discovered that Maxwell's electrodynamics can be generalized so that the resulting nonlinear theory preserves both conformal invariance and SO(2) duality-rotation invariance. Their result can be derived in a simpler way.