Edge modes in the fractional quantum Hall effect without extra edge fermions

G. L. S. Lima and S. A. Dias^a

Centro Brasileiro de Pesquisas Físicas - Rua Dr. Xavier Sigaud, 150, 22290-180, Rio de Janeiro, RJ, Brazil

^a tiao@cbpf.br

Received: 8 January 2011
Accepted: 24 March 2011

Abstract

We show that the Chern-Simons-Landau-Ginsburg theory that describes the quantum Hall effect on a bounded sample is anomaly free and thus does not require the addition of extra chiral fermions on the boundary to restore local gauge invariance.