### Abstract

An algebraic method is used to work out the mass spectra and symmetry breaking patterns of general vacuum states in (Formula presented) supersymmetric (Formula presented) Chern-Simons-Higgs systems with the matter fields being in the adjoint representation. The approach provides us with a natural basis for fields, which will be useful for further studies in the self-dual solutions and quantum corrections. As the vacuum states satisfy the (Formula presented) algebra, it is not surprising to find that their spectra are closely related to that of an angular momentum addition in quantum mechanics. The analysis can be easily generalized to other classical Lie groups.

Original language | English |
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Number of pages | 1 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 63 |

Issue number | 4 |

DOIs | |

Publication status | Published - 2001 Jan 1 |

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### ASJC Scopus subject areas

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

### Cite this

**Mass spectra of [Formula Presented] supersymmetric [Formula Presented] Chern-Simons-Higgs theories.** / Kao, Hsien chung.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - Mass spectra of [Formula Presented] supersymmetric [Formula Presented] Chern-Simons-Higgs theories

AU - Kao, Hsien chung

PY - 2001/1/1

Y1 - 2001/1/1

N2 - An algebraic method is used to work out the mass spectra and symmetry breaking patterns of general vacuum states in (Formula presented) supersymmetric (Formula presented) Chern-Simons-Higgs systems with the matter fields being in the adjoint representation. The approach provides us with a natural basis for fields, which will be useful for further studies in the self-dual solutions and quantum corrections. As the vacuum states satisfy the (Formula presented) algebra, it is not surprising to find that their spectra are closely related to that of an angular momentum addition in quantum mechanics. The analysis can be easily generalized to other classical Lie groups.

AB - An algebraic method is used to work out the mass spectra and symmetry breaking patterns of general vacuum states in (Formula presented) supersymmetric (Formula presented) Chern-Simons-Higgs systems with the matter fields being in the adjoint representation. The approach provides us with a natural basis for fields, which will be useful for further studies in the self-dual solutions and quantum corrections. As the vacuum states satisfy the (Formula presented) algebra, it is not surprising to find that their spectra are closely related to that of an angular momentum addition in quantum mechanics. The analysis can be easily generalized to other classical Lie groups.

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UR - http://www.scopus.com/inward/citedby.url?scp=85037917228&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.63.045013

DO - 10.1103/PhysRevD.63.045013

M3 - Article

AN - SCOPUS:85037917228

VL - 63

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 4

ER -