### Abstract

Using an algebraic method previously introduced, we work out the mass spectra, symmetry breaking patterns, and topologies of general vacuum states in N=2 supersymmetric Chern-Simons-Higgs systems with adjoint matter coupling for arbitrary classical Lie groups. The approach is very general and only makes use of 'the property that the vacuum states satisfy the SU(2) algebra. Therefore, the results can also be applied to any systems that share the same property. In this kind of analysis, we obtain a natural basis for fields, which is useful for studying the self-dual solutions and quantum corrections in these systems.

Original language | English |
---|---|

Article number | 125021 |

Journal | Physical Review D |

Volume | 65 |

Issue number | 12 |

DOIs | |

Publication status | Published - 2002 Dec 1 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

### Cite this

**Vacuum structure of N=2 supersymmetric Chern-Simons-Higgs theories.** / Kao, Hsien-Chung.

Research output: Contribution to journal › Article

*Physical Review D*, vol. 65, no. 12, 125021. https://doi.org/10.1103/PhysRevD.65.125021

}

TY - JOUR

T1 - Vacuum structure of N=2 supersymmetric Chern-Simons-Higgs theories

AU - Kao, Hsien-Chung

PY - 2002/12/1

Y1 - 2002/12/1

N2 - Using an algebraic method previously introduced, we work out the mass spectra, symmetry breaking patterns, and topologies of general vacuum states in N=2 supersymmetric Chern-Simons-Higgs systems with adjoint matter coupling for arbitrary classical Lie groups. The approach is very general and only makes use of 'the property that the vacuum states satisfy the SU(2) algebra. Therefore, the results can also be applied to any systems that share the same property. In this kind of analysis, we obtain a natural basis for fields, which is useful for studying the self-dual solutions and quantum corrections in these systems.

AB - Using an algebraic method previously introduced, we work out the mass spectra, symmetry breaking patterns, and topologies of general vacuum states in N=2 supersymmetric Chern-Simons-Higgs systems with adjoint matter coupling for arbitrary classical Lie groups. The approach is very general and only makes use of 'the property that the vacuum states satisfy the SU(2) algebra. Therefore, the results can also be applied to any systems that share the same property. In this kind of analysis, we obtain a natural basis for fields, which is useful for studying the self-dual solutions and quantum corrections in these systems.

UR - http://www.scopus.com/inward/record.url?scp=17144463313&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=17144463313&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.65.125021

DO - 10.1103/PhysRevD.65.125021

M3 - Article

VL - 65

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 0556-2821

IS - 12

M1 - 125021

ER -