W-infinity Field Theories for the Edge Excitations in the Quantum Hall Effect

Details W-infinity Field Theories for the Edge Excitations in the Quantum Hall Effect W-infinity Field Theories for the Edge Excitations in the Quantum Hall Effect

1996-10-03

arxiv.org/abs/hep-th/9610019v1

Int.J.Mod.Phys.A12:1101-1111,1997

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 11 pages, 1 table, to appear in the Proc. of the 1996 Summer Telluride Workshop on ``Low Dimensional Field Theory''

Scientific paper

10.1142/S0217751X97000827

We briefly review these low-energy effective theories for the quantum Hall effect, with emphasis and language familiar to field theorists. Two models have been proposed for describing the most stable Hall plateaus (the Jain series): the multi-component Abelian theories and the minimal W-infinity models. They both lead to a-priori classifications of quantum Hall universality classes. Some experiments already confirmed the basic predictions common to both effective theories, while other experiments will soon pin down their detailed properties and differences. Based on the study of partition functions, we show that the Abelian theories are rational conformal field theories while the minimal W-infinity models are not.

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