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arXiv · hep-th/9408079

The Chern-Simons Coefficient in the Higgs Phase

H. -C. Kao·K. Lee·C. Lee·T. Lee
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Abstract

We study one-loop corrections to the Chern-Simons coefficient $κ$ 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 $1/4π$ in both phases. Especially in the maximally supersymmetric $N=3$ case, the correction in symmetric phase vanishes and that in asymmetric phase is $κ/(2π|κ|)$. 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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H. -C. Kao, K. Lee, C. Lee, T. Lee. 1994-08-13. The Chern-Simons Coefficient in the Higgs Phase. https://doi.org/10.1016/0370-2693(94)90308-5

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