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Existence and uniqueness of topological multivortex solutions of the self-dual Chern–Simons model

✍ Scribed by Kwangseok Choe; Hee-Seok Nam

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
305 KB
Volume
66
Category
Article
ISSN
0362-546X

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✦ Synopsis

In this paper we study the existence and uniqueness of the topological Chern-Simons vortices in the CP(1) model in R 2 . After reducing the self-dual equations to semilinear elliptic partial differential equations, we show that a topological solution exists, and it is unique up to a real smooth function if the Chern-Simons coupling constant is sufficiently small.

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