Topological solitons in Chern-Simons theories for double-layer fractional quantum Hall effect

TL;DR

This paper investigates topological excitations such as vortices and skyrmions in Chern-Simons gauge theories modeling double-layer fractional quantum Hall systems, deriving effective field theories via duality transformations.

Contribution

It introduces a duality-based method to derive effective field theories for topological solitons in double-layer fractional quantum Hall models.

Findings

Identification of vortex and skyrmion solutions in the model

Derivation of effective field theories for these solitons

Insight into the topological nature of excitations in quantum Hall systems

Abstract

Topological excitations in Chern-Simons gauge theories which describe double-layer fractional quantum Hall effct are studied. There are two types of solitons; one is vortex and the other is nontrivial pseudospin textures which are so-called skyrmion or meron. Effective field theory which describes these solitons is derived by duality transformation.