Nontopological  N ‐vortex condensates for the self‐dual Chern‐Simons theory | Zendy

Nolasco Margherita | Zendy

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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.

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