GENERALIZED ABELIAN HIGGS SUNSPOT ENDOWED WITH A ROTATORY MOTION

An Abelian Higgs model of sunspot generalized in a Chem-Simons-like fashion is discussed. It is shown, in particular, that both the magnetic and electric fields are present inside the sunspot, and that the latter rotates. One demonstrates that the total angular momentum of a static, cylindrically symmetric sunspot is proportional to p2, where p - an integer- stands for the number of magnetic flux quanta carried by the spot. Finally, the behaviour of the Higgs field amplitude, magnetic and electric field strengths are illustrated for the spots carrying one to five flux quanta, all having the penumbra-to-umbra radius ratio of the value 1.6 square-root 2.