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Nontopological N ‐vortex condensates for the self‐dual Chern‐Simons theory
Author(s) -
Nolasco Margherita
Publication year - 2003
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.10109
Subject(s) - chern–simons theory , vortex , mathematics , mathematical physics , higgs boson , lemma (botany) , mathematical analysis , boundary value problem , physics , quantum mechanics , gauge theory , mechanics , ecology , poaceae , biology
We prove the existence of nontopological N ‐vortex solutions for an arbitrary number N of vortex points for the self‐dual Chern‐Simons‐Higgs theory with 't Hooft “periodic” boundary conditions. We use a shadowing‐type lemma to glue together any number of single vortices obtained as a perturbation of a radially symmetric entire solution of the Liouville equation. © 2003 Wiley Periodicals, Inc.