A rotating one-half topological charge dyon

Recently, we have shown the existence of a finite energy one-half monopole. In this paper, we would like to introduce electric charge into the one-half monopole configuration, thus creating a one-half dyon. This one-half dyon possesses finite energy, a magnetic dipole moment and angular momentum. Hence it is able to rotate in the presence of an external magnetic field. Similarly to single pole dyons and MAP dyons, this one-half dyon possesses a critical (maximum) electric charge, total energy and magnetic dipole moment when the Higgs self-coupling constant is non-vanishing and the electric charge parameter approaches one. This one-half dyon solution does not satisfy the first order Bogomol'nyi equations and is a non-BPS solution in the limit of a vanishing Higgs self-coupling constant.