Non-Abelian Chern–Simons vortices

2007/04/30 by G. Lozano, G. S. Lozano, D. Marques +3 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1016/j.physletb.2007.08.036

published as Phys.Lett.B654:27-34,2007 · 12 pages, 3 figures. Shortened version, published in Phys. Lett. B

openalex publication_date 2007/08/20 · arxiv created 2007/09/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

We consider the bosonic sector of a N=2 supersymmetric Chern-Simons-Higgs theory in 2+1 dimensions. The gauge group is U(1)xU(N) and has N_f flavors of fundamental matter fields. The model supports non-Abelian (axially symmetric) vortices when N_f≥ N, which have internal (orientational) moduli. When N_f > N, the solutions acquire additional collective coordinates parameterizing their transverse size. We solve the BPS equations numerically and obtain local (N_f = N) and semi-local (N_f > N) string solutions.

Citations

• 2 + 1 dimensional gravity as an exactly soluble system
• Non-Abelian vortices in Chern-Simons theories and their induced effective theory
• Topologically massive gauge theories

Cited by

• A note on Chern–Simons solitons—A type III vortex from the wall vortex