Effective field theory description of the higher dimensional quantum hall liquid
Journal
Annals of Physics
Journal Volume
300
Journal Issue
2
Pages
185-207
Date Issued
2002
Author(s)
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 CP3, or as a SU(2) Chern-Simons theory over S4. The new quantum Hall liquid supports various types of topological excitations, including the o-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. © 2002 Elsevier Science (USA).
Type
journal article