A twisted conformal field theory description of the Quantum Hall Effect
Mesoscale and Nanoscale Physics
2009-10-31 v1 High Energy Physics - Theory
Abstract
We construct an effective conformal field theory by using a procedure which induces twisted boundary conditions for the fundamental scalar fields. That allows to describe a quantum Hall fluid at Jain hierarchical filling, nu=m/(2pm+1), in terms of one charged scalar field and m-1 neutral ones. Then the resulting algebra of the chiral primary fields is U(1)xW_m. Finally the ground state wave functions are given as correlators of appropriate composite fields (a-electrons).
Keywords
Cite
@article{arxiv.cond-mat/9912287,
title = {A twisted conformal field theory description of the Quantum Hall Effect},
author = {G. Cristofano and G. Maiella and V. Marotta},
journal= {arXiv preprint arXiv:cond-mat/9912287},
year = {2009}
}
Comments
11 pages, plain Latex