2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/53305A polarization of the Lie algebras $Map(C, G)$ of gauge transformations on the light-cone $C\subset\RM^4$ is introduced, using splitting of the initial data on $C$ for the wave operator to positive and negative frequencies. This generalizes the usual polarization of affine Kac-Moody algebras to positive and negative frequencies and paves the way to a generalization of the highest weight theory to the $3+1$ dimensional setting.12 pagesHigh Energy Physics - Theorytext