Mass Spectra of N=2 Supersymmetric SU(n) Chern-Simons-Higgs Theories

Abstract

An algebraic method is used to work out the mass spectra and symmetry breaking patterns of general vacuum states in N=2 supersymmetric SU(n) Chern-Simons-Higgs systems with the matter fields being in the adjoint representation. The approach provides with us 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 SU(2) algebra, it is not surprising to find that their spectra are closely related to that of angular momentum addition in quantum mechanics. The analysis can be easily generalized to other classical Lie groups.

17 pages, use revtex

References in corpus (15)

• Topological orders and Edge excitations in FQH states
• Self-Dual Chern-Simons Theories
• The Chern-Simons Coefficient in Supersymmetric Yang-Mills Chern-Simons Theories
• Chern-Simons Theory as the Large Mass Limit of Topologically Massive Yang-Mills Theory
• Self-DUal SU(3) Chern-Simons Higgs Systems
• Vacuum Mass Spectra for SU(N) Self-Dual Chern-Simons-Higgs Systems
• Mass Degeneracies In Self-Dual Models
• Spontaneous Symmetry Breaking and the Renormalization of the Chern-Simons Term
• The BPS Domain Wall Solutions in Self-Dual Chern-Simons-Higgs Systems
• On the Coleman-Hill Theorem
• Integer Quantization of the Chern-Simons Coefficient in a Broken Phase
• The Non-abelian Chern-Simons Coefficient in the Higgs Phase
• Generalizing the Coleman-Hill Theorem
• Renormalization In Coupled-Abelian Self-Dual Chern-Simons Models
• The Chern-Simons Coefficient in Supersymmetric Non-abelian Chern-Simons Higgs Theories