Supersymmetric Chern-Simons Theory and Supersymmetric Quantum Hall Liquid
High Energy Physics - Theory
2008-11-26 v3 Mesoscale and Nanoscale Physics
Abstract
We develop a supersymmetric extension of Chern-Simons theory and Chern-Simons-Landau-Ginzburg theory for supersymmetric quantum Hall liquid. Supersymmetric counterparts of topological and gauge structures peculiar to the Chern-Simons theory are inspected in the supersymmetric Chern-Simons theory. We also explore an effective field theoretical description for the supersymmetric quantum Hall liquid. The key observation is the the charge-flux duality. Based on the duality, we derive a dual supersymmetric Chern-Simons-Landau-Ginzburg theory, and discuss physical properties of the topological excitations in supersymmetric quantum Hall liquid.
Keywords
Cite
@article{arxiv.hep-th/0606007,
title = {Supersymmetric Chern-Simons Theory and Supersymmetric Quantum Hall Liquid},
author = {Kazuki Hasebe},
journal= {arXiv preprint arXiv:hep-th/0606007},
year = {2008}
}
Comments
12 pages, no figures, published version in PRD