Vacuum Mass Spectra for SU(N) Self-Dual Chern-Simons-Higgs Systems

Abstract

We study the $SU(N)$ self-dual Chern-Simons-Higgs systems with adjoint matter coupling, and show that the sixth order self-dual potential has $p(N)$ gauge inequivalent degenerate minima, where $p(N)$ is the number of partitions of $N$. We compute the masses of the gauge and scalar excitations in these different vacua, revealing an intricate mass structure which reflects the self-dual nature of the model.

19 pages (LaTeX)

References in corpus (3)

• Self-Dual Chern-Simons Higgs Systems with an N=3 Extended Supersymmetry
• Self-DUal SU(3) Chern-Simons Higgs Systems
• Symmetry Breaking in the Schrödinger Representation for Chern-Simons Theories

Cited by in corpus (13)

• Self-Dual Chern-Simons Theories
• Mass Degeneracies In Self-Dual Models
• The BPS Domain Wall Solutions in Self-Dual Chern-Simons-Higgs Systems
• On the Entire Radial Solutions of the Chern-Simons SU(3) System
• The self-dual Chern-Simons $CP(N)$ models
• The Chern-Simons Coefficient in the Higgs Phase
• 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
• Renormalization In Coupled-Abelian Self-Dual Chern-Simons Models
• The Chern-Simons Coefficient in Supersymmetric Non-abelian Chern-Simons Higgs Theories
• Mass Spectra of N=2 Supersymmetric SU(n) Chern-Simons-Higgs Theories
• B2 and G2 Toda systems on compact surfaces: a variational approach
• A new type of non-topological bubbling solutions to a competitive Chern-Simons model