Vortex condensates for relativistic abelian chern-simons model with two higgs scalar fields and two gauge fields on a torus


Prof. Jyotshana Prajapat  ( Tata Institute of Fundamental Research, India )

2008 - 02 - 27 (Wed.)
11:00 - 12:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)

We prove the existence of maximal condensates for the relativistic Abelian Chern-Simoms equations involving two Higgs particles and two gauge fields on a torus. We exhibit this condensate as a local minimizer of an indefinite variational functional and prove existence of a second mountain-pass solution.