Self-dual symmetric nontopological solutions in the \(\mathrm{SU}(3)\) model in \(\mathbb R^2\)

DOI10.1007/s00220-014-2109-7zbMath1308.81177OpenAlexW2038548892MaRDI QIDQ2257995

Kwangseok Choe, Chang-Shou Lin, Namkwon Kim

Publication date: 2 March 2015

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-014-2109-7

Mathematics Subject Classification ID

Unified quantum theories (81V22) Applications of Lie groups to the sciences; explicit representations (22E70) Compact groups (22C05) Eta-invariants, Chern-Simons invariants (58J28) Simple, semisimple Jordan algebras (17C20) Blow-up in context of PDEs (35B44) Systems of linear higher-order PDEs (35G35)

Related Items

Existence of mixed type solutions in the Chern-Simons gauge theory of rank two in \(\mathbb{R}^2\) ⋮ Mixed type solutions of the \(\mathrm{SU}(3)\) models on a torus ⋮ Small data global existence and decay for relativistic Chern-Simons equations ⋮ On non-topological solutions for planar Liouville systems of Toda-type ⋮ Self-dual radial non-topological solutions to a competitive Chern-Simons model ⋮ Sharp upper bound of the number of solutions for the \(\mathrm{SU} (N + 1)\) Toda system on torus with non-critical parameters ⋮ New type of nontopological bubbling solutions in the \(\operatorname{SU}(3)\) Chern-Simons model in \(\mathbb{R}^2\) ⋮ Doubly periodic mixed type solution of Non-Abelian Chern–Simons–Higgs vortices with flavor ⋮ Bubbling mixed type solutions of the SU(3) models on a torus ⋮ On number and evenness of solutions of the \(SU(3)\) Toda system on flat tori with non-critical parameters ⋮ Bubbling solutions of mixed type for a general non-abelian Chern-Simons-Higgs system of rank 2 over a torus ⋮ Analytical issues in the construction of self-dual Chern-Simons vortices ⋮ Existence of mixed type solutions in the SU(3) Chern-Simons theory in \(\mathbb {R}^2\) ⋮ On the family of non-topological solutions for the elliptic system arising from a product abelian gauge field theory ⋮ Multiple solutions for the non-abelian Chern-Simons-Higgs vortex equations ⋮ Existence of radial mixed type solutions in Chern-Simons theories of rank 2 in \(\mathbb{R}^2\) ⋮ Existence of radial solutions in the Chern–Simons–Higgs model with its N=2 SUSY extension ⋮ Blow up at infinity in the SU(3) Chern-Simons model, part I ⋮ Even solutions of some mean field equations at non-critical parameters on a flat torus

Cites Work

• Unnamed Item
• Non-abelian Chern-Simons vortices
• Fractional and semi-local non-Abelian Chern-Simons vortices
• Sharp existence and uniqueness theorems for non-Abelian multiple vortex solutions
• Existence of self-dual non-topological solutions in the Chern-Simons Higgs model
• Symmetries and the calculations of degree
• The existence of non-topological solitons in the self-dual Chern-Simons theory
• The relativistic non-Abelian Chern-Simons equations
• Vacuum mass spectra for \(\text{SU}(N)\) self-dual Chern-Simons-Higgs systems
• Classification and nondegeneracy of \(SU(n+1)\) Toda system with singular sources
• Non-topological multi-vortex solutions to the self-dual Chern-Simons-Higgs equation
• Topological solutions in the self-dual Chern-Simons theory: Existence and approximation
• Non-Abelian Chern-Simons vortices with generic gauge groups
• On the entire radial solutions of the Chern-Simons SU(3) system
• Blow-up solutions of the self-dual Chern-Simons-Higgs vortex equation
• On a class of elliptic problems in R²: symmetry and uniqueness results
• Bubbling Solutions for the SU(3) Chern-Simons Model on a Torus
• Existence of vortices in a self-dual gauged linear sigma model and its singular limit
• Multiple Existence Results for the Self-Dual Chern–Simons–Higgs Vortex Equation
• Self-dual Chern-Simons vortices
• Multivortex solutions of the Abelian Chern-Simons-Higgs theory
• Vortex condensates for the SU(3) Chern-Simons theory
• The existence of non-topological multivortex solutions in the relativistic self-dual Chern-Simons theory