The Chern-Simons Coefficient in the Higgs Phase

Abstract

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.

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

References in corpus (5)

• Chern-Simons Theory as the Large Mass Limit of Topologically Massive Yang-Mills Theory
• Self-Dual Chern-Simons Higgs Systems with an N=3 Extended Supersymmetry
• Self-DUal SU(3) Chern-Simons Higgs Systems
• Vortex Dynamics in Self-Dual Chern-Simons Higgs Systems
• Vacuum Mass Spectra for SU(N) Self-Dual Chern-Simons-Higgs Systems

Cited by in corpus (9)

• Self-Dual Chern-Simons Theories
• The Chern-Simons Coefficient in Supersymmetric Yang-Mills Chern-Simons Theories
• Integer Quantization of the Chern-Simons Coefficient in a Broken Phase
• On the duality of three-dimensional superfield theories
• Consistent Interactions of the 2+1 Dimensional Noncommutative Chern-Simons Field
• Parity Violating Bosonic Loops at Finite Temperature
• Renormalization In Coupled-Abelian Self-Dual Chern-Simons Models
• Canonical quantization of spontaneously broken topologically massive gauge theory
• Radiative corrections to the Chern-Simons term at finite temperature in the noncommutative Chern-Simons-Higgs model