Mixed type solutions of the \(\mathrm{SU}(3)\) models on a torus

DOI10.1007/S00220-015-2532-4zbMath1336.81054OpenAlexW2191565594MaRDI QIDQ273202

Youngae Lee, Yen-Wen Fan, Chang-Shou Lin

Publication date: 21 April 2016

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

Full work available at URL: https://doi.org/10.1007/s00220-015-2532-4

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) PDEs of mixed type (35M10) Nonlinear elliptic equations (35J60) Yang-Mills and other gauge theories in quantum field theory (81T13) PDEs in connection with quantum mechanics (35Q40) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (12)

Existence of mixed type solutions in the Chern-Simons gauge theory of rank two in \(\mathbb{R}^2\) ⋮ Periodic Maxwell-Chern-Simons vortices with concentrating property ⋮ Topological solutions in the Maxwell-Chern-Simons model with anomalous magnetic moment ⋮ 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 ⋮ UNIQUENESS OF TOPOLOGICAL SOLUTIONS FOR THE GUDNASON MODEL ⋮ The asymptotic behavior of Chern-Simons vortices for Gudnason model ⋮ 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 ⋮ Multi-bubbling condensates for the Maxwell-Chern-Simons model ⋮ 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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mean field equations, hyperelliptic curves and modular forms. I
• Existence of mixed type solutions in the SU(3) Chern-Simons theory in \(\mathbb {R}^2\)
• Non-abelian multiple vortices in supersymmetric field theory
• Elliptic functions, Green functions and the mean field equations on tori
• Sharp existence and uniqueness theorems for non-Abelian multiple vortex solutions
• Existence of self-dual non-topological solutions in the Chern-Simons Higgs model
• Self-dual gauge field vortices. An analytical approach
• Uniqueness of selfdual periodic Chern-Simons vortices of topological-type
• New type of nontopological bubbling solutions in the \(\operatorname{SU}(3)\) Chern-Simons model in \(\mathbb{R}^2\)
• Bubbling solutions for relativistic Abelian Chern-Simons model on a torus
• The existence of non-topological solitons in the self-dual Chern-Simons theory
• Double vortex condensates in the Chern-Simons-Higgs theory
• The relativistic non-Abelian Chern-Simons equations
• Vacuum mass spectra for \(\text{SU}(N)\) self-dual Chern-Simons-Higgs systems
• Non-topological multi-vortex solutions to the self-dual Chern-Simons-Higgs equation
• Existence of bubbling solutions for Chern-Simons model on a torus
• Self-dual symmetric nontopological solutions in the \(\mathrm{SU}(3)\) model in \(\mathbb R^2\)
• On the entire radial solutions of the Chern-Simons SU(3) system
• Blow-up solutions of the self-dual Chern-Simons-Higgs vortex equation
• Existence of topological multivortex solutions in the self-dual gauge theories
• Uniqueness of the topological multivortex solution in the self-dual Chern–Simons theory
• A nonlinear elliptic equation arising from gauge field theory and cosmology
• Self-dual Chern-Simons vortices
• Multivortex solutions of the Abelian Chern-Simons-Higgs theory
• On the Minimality of Extra Critical Points of Green Functions on Flat Tori
• Self-Dual Chern-Simons Theories
• Mean Field Equation of Liouville Type with Singular Data: Topological Degree
• Vortex condensates for the SU(3) Chern-Simons theory

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