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Article
Report number	hep-th/9211071 ; CERN-TH-6702-92 ; CERN-TH-6702-92
Title	Conformal symmetry and universal properties of quantum Hall states
Author(s)	Cappelli, Andrea (CERN) ; Dunne, Gerald V. (Connecticut U.) ; Trugenberger, Carlo A. (CERN) ; Zemba, Guillermo R. (CERN)
Affiliation	(CERN) ; (Univ. Connecticut Storrs)
Publication	1993
Imprint	Oct 1992
Number of pages	46
In:	Nucl. Phys. B 398 (1993) 531-567
DOI	10.1016/0550-3213(93)90603-M
Subject category	General Theoretical Physics
Abstract	The low-lying excitations of a quantum Hall state on a disk geometry are edge excitations. Their dynamics is governed by a conformal field theory on the cylinder defined by the disk boundary and the time variable. We give a simple and detailed derivation of this conformal field theory for integer filling, starting from the microscopic dynamics of $(2+1)$-dimensional non-relativistic electrons in Landau levels. This construction can be generalized to describe Laughlin's fractional Hall states via chiral bosonization, thereby making contact with the effective Chern-Simons theory approach. The conformal field theory dictates the finite-size effects in the energy spectrum. An experimental or numerical verification of these universal effects would provide a further confirmation of Laughlin's theory of incompressible quantum fluids.
Copyright/License	Copyright @ unknown. Published by Elsevier B.V.

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