Exotic particles and generalized Maxwell theory on a fuzzy two-sphere

We consider generalized Maxwell theory and spherical D2-brane. The model is built by introducing a generalized connection put at the origin of a two-sphere to describe anyons instead of Chern–Simons term. In this model, the D2-brane got a higher energy and the static potential for two opposite charged exotic particles is found to have a screening nature on a fuzzy two-sphere instead of confinement which is a special property of the system on the plane.