Non-topological condensates for the self-dual Chern-Simons-Higgs model

Abstract

For the abelian self-dual Chern-Simons-Higgs model I will discuss
existence issues of periodic vortex configurations -- the
so-called condensates-- of non-topological type for small values of the
Chern-Simons parameter k. We provide a positive answer for the
existence of non-topological condensates with magnetic field concentrated at
some of the vortex points (as a sum of Dirac measures) as k tends to 0.
Joint work with M. del Pino, M. Musso and P. Figueroa.