NON-ABELIAN FLUX, LATTICE HOPPING, SPIN SYSTEMS, AND THE ELECTRIC DIPOLE MOMENT

Abstract

It has been suggested that chiral spin state may serve as a starting point for a theory of superconductivity. Here we propose non-Abelian generalizations of the flux and chiral spin states in both two and three dimensions. In three dimensions, T violation may be manifest through the appearance of an electric dipole moment. We may naturally speculate that the T violation observed in particle physics may ultimately be connected to the opening and widening of mass gaps. In two dimensions, the effective long distance theory may include a non-Abelian Chern-Simons term.