Existence of radial mixed type solutions in Chern-Simons theories of rank 2 in \(\mathbb{R}^2\)

DOI10.1007/S00220-019-03469-6zbMath1433.35318OpenAlexW2952350857MaRDI QIDQ2323525

Kwangseok Choe, Namkwon Kim, Chang-Shou Lin

Publication date: 3 September 2019

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

Full work available at URL: https://doi.org/10.1007/s00220-019-03469-6

zbMATH Keywords

degree theoryChern-Simons gauge theorymixed-type solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Periodic solutions to PDEs (35B10) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of Lie (super)algebras to physics, etc. (17B81) PDEs in connection with quantum mechanics (35Q40) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Eta-invariants, Chern-Simons invariants (58J28) Perturbations of PDEs on manifolds; asymptotics (58J37) Semilinear elliptic equations (35J61)

Related Items (3)

Non-abelian Chern-Simons-Higgs system with indefinite functional ⋮ Blow up at infinity in the SU(3) Chern-Simons model, part I ⋮ Vortex condensation in general \(U(1) \times U(1)\) abelian Chern-Simons model on a flat torus

Cites Work

• Unnamed Item
• Unnamed Item
• Non-abelian Chern-Simons vortices
• On non-topological solutions of the \(\mathbf{G}_2\) Chern-Simons system
• Existence of mixed type solutions in the SU(3) Chern-Simons theory in \(\mathbb {R}^2\)
• Fractional and semi-local non-Abelian Chern-Simons vortices
• Existence of self-dual non-topological solutions in the Chern-Simons Higgs model
• New type of nontopological bubbling solutions in the \(\operatorname{SU}(3)\) Chern-Simons model in \(\mathbb{R}^2\)
• The relativistic non-Abelian Chern-Simons equations
• Non-topological multi-vortex solutions to the self-dual Chern-Simons-Higgs equation
• Non-Abelian Chern-Simons vortices with generic gauge groups
• Self-dual symmetric nontopological solutions in the \(\mathrm{SU}(3)\) model in \(\mathbb R^2\)
• Existence of mixed type solutions in the Chern-Simons gauge theory of rank two in \(\mathbb{R}^2\)
• On the entire radial solutions of the Chern-Simons SU(3) system
• Classification of the entire radial self-dual solutions to non-abelian Chern-Simons systems
• On Non-topological Solutions of the 𝐴₂ and 𝐵₂ Chern-Simons System
• The behavior of the laplacian on weighted sobolev spaces
• Elliptic operators and the decomposition of tensor fields
• Self-dual Chern-Simons vortices
• Multivortex solutions of the Abelian Chern-Simons-Higgs theory
• Self-Dual Chern-Simons Theories

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