The Chern-Simons Coefficient in the Higgs Phase

Details The Chern-Simons Coefficient in the Higgs Phase The Chern-Simons Coefficient in the Higgs Phase

1994-08-13

arxiv.org/abs/hep-th/9408079v1

Phys.Lett.B341:181-186,1994

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/0370-2693(94)90308-5

We study one-loop corrections to the Chern-Simons coefficient $\kappa$ 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 $1/4\pi$ in both phases. Especially in the maximally supersymmetric $N=3$ case, the correction in symmetric phase vanishes and that in asymmetric phase is $\kappa/(2\pi |\kappa|)$. Our results suggest that nonabelian self-dual systems might enjoy similar features. We also discuss various issues arising from our results.

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