Effective field theory description of the higher dimensional quantum Hall liquid
Condensed Matter
2011-11-14 v3 High Energy Physics - Theory
Abstract
We derive an effective topological field theory model of the four dimensional quantum Hall liquid state recently constructed by Zhang and Hu. Using a generalization of the flux attachment transformation, the effective field theory can be formulated as a U(1) Chern-Simons theory over the total configuration space , or as a SU(2) Chern-Simons theory over . The new quantum Hall liquid supports various types of topological excitations, including the 0-brane (particles), the 2-brane (membranes) and the 4-brane. There is a topological phase interaction among the membranes which generalizes the concept of fractional statistics.
Keywords
Cite
@article{arxiv.cond-mat/0206164,
title = {Effective field theory description of the higher dimensional quantum Hall liquid},
author = {B. Andrei Bernevig and Chyh-Hong Chern and Jiang-Ping Hu and Nicolaos Toumbas and Shou-Cheng Zhang},
journal= {arXiv preprint arXiv:cond-mat/0206164},
year = {2011}
}