Existence of topological multivortex solutions in the self-dual gauge theories

DOI10.1017/S030821050000069XzbMath0977.35138OpenAlexW1989669361MaRDI QIDQ2708155

Jongmin Han

Publication date: 27 January 2002

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s030821050000069x

zbMATH Keywords

vortex solutionsexponential decayabelian Higgs modelChern-Simons Higgs gauge theoriestopological multivortex equationstopological vortex-antivortex solutions

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Yang-Mills and other gauge theories in quantum field theory (81T13) Statistical mechanics of superconductors (82D55)

Related Items (22)

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 ⋮ Existence of nontopological solutions of the self-dual Einstein-Maxwell-Higgs equations on compact surfaces ⋮ Existence and uniqueness of topological multivortex solutions of the self-dual Chern--Simons \(CP(1)\) model ⋮ Uniqueness of selfdual periodic Chern-Simons vortices of topological-type ⋮ Multivortex solutions in the Chern-Simons gauged \(O(3)\) sigma model on a doubly periodic domain ⋮ Existence of topological multi-string solutions in Abelian gauge field theories ⋮ Bubbling mixed type solutions of the SU(3) models on a torus ⋮ Uniqueness and solution structure of nonlinear equations arising from the Chern-Simons gauged \(O(3)\) sigma models ⋮ Asymptotic behavior of condensate solutions in the Chern-Simons-Higgs theory ⋮ UNIQUENESS OF TOPOLOGICAL SOLUTIONS FOR THE GUDNASON MODEL ⋮ Bubbling solutions of mixed type for a general non-abelian Chern-Simons-Higgs system of rank 2 over a torus ⋮ Self-dual vortices in a Maxwell-Chern-Simons model with non-minimal coupling ⋮ Uniqueness of the topological multivortex solution in the self-dual Chern–Simons theory ⋮ The geometry of the space of BPS vortex-antivortex pairs ⋮ Bubbling solutions for the Chern-Simons gauged \(O(3)\) sigma model on a torus ⋮ Multi-bubbling condensates for the Maxwell-Chern-Simons model ⋮ The analysis of solutions for Maxwell-Chern-Simons \(O(3)\) sigma model ⋮ On Some Elliptic Problems in the Study of Selfdual Chern-Simons Vortices ⋮ Nontopological Condensates for the Self‐Dual Chern‐Simons‐Higgs Model ⋮ Uniqueness of topological solutions of self-dual Chern-Simons equation with collapsing vortices ⋮ Asymptotic analysis of solutions to a gauged O(3) sigma model

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