Exotic Particles and Generalized Maxwell theory on Fuzzy Two-Sphere

TL;DR

This paper explores a generalized Maxwell theory on a fuzzy two-sphere, revealing unique energy properties and a screening potential for exotic particles, differing from planar confinement.

Contribution

It introduces a novel generalized connection for describing anyons on a fuzzy two-sphere, replacing the Chern-Simons term and analyzing the resulting energy and potential.

Findings

Gauge field energy dominates at large sphere radius or charge number

D2-brane exhibits high energy in the model

Static potential shows screening behavior, not confinement

Abstract

We consider generalized Maxwell theory and spherical D2-brane. The model is built by introducing a generalized connection put at the origin of two-sphere to describe anyons instead of Chern-Simons term. The energy obtained in this model is very special since the gauge field is dynamic and its energy dominates when the radius of fuzzy two-sphere goes to infinity or if we take large number of charges. Consequently, D2-brane gets high energy. The static potential for two opposite charged exotic particles described by generalized Maxwell theory is found to have screening nature on fuzzy two-sphere instead of confinement which is a special property of the system on the plane.