### 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 + c_{v}, where c_{v} 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 + c_{v}/2, making the theory anomalous if c_{v} 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 language | English |
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Pages (from-to) | 94-99 |

Number of pages | 6 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 373 |

Issue number | 1-3 |

DOIs | |

Publication status | Published - 1996 Apr 18 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

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

Research output: Contribution to journal › Article

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 373, no. 1-3, pp. 94-99. https://doi.org/10.1016/0370-2693(96)00119-0

}

TY - JOUR

T1 - The Chern-Simons coefficient in supersymmetric Yang-Mills Chern-Simons theories

AU - Kao, Hsien Chung

AU - Lee, Kimyeong

AU - Lee, Taejin

PY - 1996/4/18

Y1 - 1996/4/18

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0002174721&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0002174721&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(96)00119-0

DO - 10.1016/0370-2693(96)00119-0

M3 - Article

AN - SCOPUS:0002174721

VL - 373

SP - 94

EP - 99

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1-3

ER -