The Chern-Simons Coefficient in the Higgs Phase

Abstract

We study one-loop corrections to the Chern-Simons coefficient $\hat{I}º$ in abelian self-dual Chern-Simons Higgs systems and their $N=2$ and $N=3$ supersymmetric generalizations in both symmetric and asymmetric phases. One-loop corrections to the Chern-Simons coefficient of these systems turn out to be integer multiples of $1/4\ddot{I}€$ in both phases. Especially in the maximally supersymmetric $N=3$ case, the correction in symmetric phase vanishes and that in asymmetric phase is $\hat{I}º/(2\ddot{I}€|\hat{I}º|)$. Our results suggest that nonabelian self-dual systems might enjoy similar features. We also discuss various issues arising from our results.

10 pages, phyzzx macro, CU-TP-647 and SNUTP94-71