We calculate explicitly the quantum correction to the Chern-Simons coefficient in self-dual Chern-Simons Higgs theories with matter fields in the adjoint representation of (Formula presented) It turns out that all the quantum corrections in various phases satisfy the quantization condition as long as there are remaining gauge symmetries in the system. In particular, the correction is still quantized even if the remaining symmetry is (Formula presented) although there is no need in principle for it to satisfy the quantization condition in such a case.
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|Physical Review D - Particles, Fields, Gravitation and Cosmology
|已發佈 - 2002
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