The Chern-Simons coefficient in supersymmetric Yang-Mills Chern-Simons theories

Hsien Chung Kao, Kimyeong Lee, Taejin Lee

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Abstract

We study one-loop corrections to the Chern-Simons coefficient κ = k/4π in N = 1, 2, 3 supersymmetric Yang-Mills Chern-Simons systems. In the pure bosonic case, the shift of the parameter k is known to be k → k + cv, where cv is the quadratic Casimir of the gauge group. In the N = 1 case, the fermionic contribution cancels the bosonic contribution by half and the shift is k → k + cv/2, making the theory anomalous if cv is odd. In the N = 2, 3 cases, the fermionic contribution cancels the bosonic contribution completely and there is no correction. We also calculate the mass corrections, and show that the supersymmetry is preserved. As the matter fields decouple from the gauge field in the pure Chern-Simons limit, this work sheds some light on the regularization dependency of the correction in pure Chern-Simons systems. We also discuss the implication to the case when the gauge symmetry is spontaneously broken by the Higgs mechanism.

Original languageEnglish
Pages (from-to)94-99
Number of pages6
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume373
Issue number1-3
DOIs
Publication statusPublished - 1996 Apr 18

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  • Nuclear and High Energy Physics

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The Chern-Simons coefficient in supersymmetric Yang-Mills Chern-Simons theories. / Kao, Hsien Chung; Lee, Kimyeong; Lee, Taejin.

In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 373, No. 1-3, 18.04.1996, p. 94-99.

Research output: Contribution to journalArticle

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