2025/04/14 by Babaei-Aghbolagh, Hossein, Velni, Komeil Babaei, He, Song +1 · 2 citations
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2504.10361
The self-dual condition, which ensures invariance under electromagnetic duality, manifests as a partial differential equation in nonlinear electromagnetism theories. The general solution to this equation is expressed in terms of an auxiliary field, τ, and Courant-Hilbert functions, ℓ(τ), which depend on τ. Recent studies have shown that duality-invariant nonlinear electromagnetic theories fulfill the principle of causality under the conditions (∂ ℓ)/(∂ τ) ≥ 1 and (∂2 ℓ)/(∂ τ2) ≥ 0. In this paper, we investigate theories with two coupling constants that also comply with the principle of causality. We demonstrate that these theories possess a new universal representation of the root-TT operator. Additionally, we derive marginal and irrelevant flow equations for the logarithmic causal self-dual electrodynamics and identify a symmetry referred to as α-symmetry, which is present in all these models.