Mass Degeneracies In Self-Dual Models

Abstract

An algebraic restriction of the nonabelian self-dual Chern-Simons-Higgs systems leads to coupled abelian models with interesting mass spectra. The vacua are characterized by embeddings of $SU(2)$ into the gauge algebra, and in the broken phases the gauge and real scalar masses coincide, reflecting the relation of these self-dual models to $N=2$ SUSY. The masses themselves are related to the exponents of the gauge algebra, and the self-duality equation is a deformation of the classical Toda equations.

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References in corpus (5)

• Self-DUal SU(3) Chern-Simons Higgs Systems
• Vortex Dynamics in Self-Dual Chern-Simons Higgs Systems
• Vacuum Mass Spectra for SU(N) Self-Dual Chern-Simons-Higgs Systems
• Chern-Simons Solitons, Toda Theories and the Chiral Model
• Symmetry Breaking in the Schrödinger Representation for Chern-Simons Theories

Cited by in corpus (7)

• Non-Abelian Vortices in Supersymmetric Gauge Field Theory via Direct Methods
• Resolution of Chern--Simons--Higgs Vortex Equations
• On the Entire Radial Solutions of the Chern-Simons SU(3) System
• Existence of mixed type solutions in the Chern-Simons gauge theory of rank two in ${\mathbb{R}}^2$
• The Non-abelian Chern-Simons Coefficient in the Higgs Phase
• The Chern-Simons Coefficient in Supersymmetric Non-abelian Chern-Simons Higgs Theories
• Mass Spectra of N=2 Supersymmetric SU(n) Chern-Simons-Higgs Theories