Index theory for the nonrelativistic Chern-Simons solitons

Abstract

We have demonstrated that the nonrelativistic Chern-Simons solitons have 4n parameters by explicit parameter counting, zero-mode calculation, and index theory, where 2n is the flux number of the soliton solutions. Despite the presence of the continuum mode, we have shown that the number of zero modes for the nonrelativistic Chern-Simons solitons is the same as the index. © 1990 The American Physical Society.