This note is concerned with the recent paper "Non-topological N-vortex condensates for the self-dual Chern-Simons theory" by M. Nolasco. Modifying her arguments and statements, we show that the existence of "non-topological" multi-vortex condensates follows when the number of prescribed vortex points is greater than or equal to 2.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc66-0-22, author = {Takashi Suzuki and Futoshi Takahashi}, title = {Non-topological condensates in self-dual Chern-Simons gauge theory}, journal = {Banach Center Publications}, volume = {65}, year = {2004}, pages = {317-336}, zbl = {1235.35120}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc66-0-22} }
Takashi Suzuki; Futoshi Takahashi. Non-topological condensates in self-dual Chern-Simons gauge theory. Banach Center Publications, Tome 65 (2004) pp. 317-336. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc66-0-22/