QUANTUM HALL FLUIDS AS W-INFINITY MINIMAL MODELS
High Energy Physics - Theory
2016-09-06 v1 Condensed Matter
Abstract
We review our recent work on the algebraic characterization of quantum Hall fluids. Specifically, we explain how the incompressible quantum fluid ground states can be classified by effective edge field theories with the W-infinity dynamical symmetry of ``quantum area-preserving diffeomorphisms''. Using the representation theory of W-infinity, we show how all fluids with filling factors and with and positive integers, even, correspond exactly to the W-infinity {\it minimal models}.
Cite
@article{arxiv.hep-th/9502050,
title = {QUANTUM HALL FLUIDS AS W-INFINITY MINIMAL MODELS},
author = {A. Cappelli and C. A. Trugenberger and G. R. Zemba},
journal= {arXiv preprint arXiv:hep-th/9502050},
year = {2016}
}
Comments
28 pages,plain LaTeX,proceedings of the conference on ``Statistical Mechanics and Quantum Field Theory'',U.S.C., Los Angeles (U.S.A.),May 1994 and of the summer school on ``Particles, Fields and Strings'',Banff (Canada), August 1994.