no. 2
A classification of semilocal vortices in a Chern–Simons theory
Annales de l'I.H.P. Analyse non linéaire, Tome 33 (2016) no. 2, pp. 575-595.

Nous étudions une théorie Chern–Simons de champs de matière plans interagissant avec le champ de jauge de Chern–Simons d'une manière invariante par le groupe SU(N)global⊗U(1)local. Nous classons les solutions solitons radialement symétriques du système en fonction de la valeur prescrite d'un flux magnétique associé à ce modèle. Nous prouvons également l'unicité de la solution topologique sous une certaine condition.

We consider a Chern–Simons theory of planar matter fields interacting with the Chern–Simons gauge field in a SU(N)global⊗U(1)local invariant fashion. We classify the radially symmetric soliton solutions of the system in terms of the prescribed value of magnetic flux associated with this model. We also prove the uniqueness of the topological solution in a certain condition.

DOI : 10.1016/j.anihpc.2014.11.007
Classification : 35J60, 35J55
Mots clés : Chern–Simons–Higgs model, Classification of nontopological solutions for elliptic system, Uniqueness result of topological solutions 
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     title = {A classification of semilocal vortices in a {Chern{\textendash}Simons} theory},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
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     publisher = {Elsevier},
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Chern, Jann-Long; Chen, Zhi-You; Yang, Sze-Guang. A classification of semilocal vortices in a Chern–Simons theory. Annales de l'I.H.P. Analyse non linéaire, Tome 33 (2016) no. 2, pp. 575-595. doi : 10.1016/j.anihpc.2014.11.007. http://www.numdam.org/articles/10.1016/j.anihpc.2014.11.007/

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