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Conformal field theory approach to gapless 1D fermion systems and application to the edge excitations of $\nu =1/(2p+1)$ quantum Hall sequences
Teoretičeskaâ i matematičeskaâ fizika, Tome 117 (1998) no. 1, pp. 5-91 Cet article a éte moissonné depuis la source Math-Net.Ru

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An effective conformal field theory (CFT) describing the low-energy excitations of a gas of spinless interacting fermions on a circle in the gapless regime (Luttinger liquid) is investigated. Functional techniques and modular-transformation properties are used to compute all correlation functions for a finite size and temperature. Forward-scattering disorder is treated exactly. Laughlin experiments on charge transport in a quantum Hall fluid on a cylinder are reviewed in this CFT framework. Edge excitations above a given bulk excitation are described by a twisted version of the Luttinger effective theory. Luttinger CFTs corresponding to the $\nu=1/(2p+1)$ filling fractions are rational CFTs (RCFT). Generators of the extended symmetry algebra are identified as edge-fermion creators and annihilators, thus giving a physical meaning to the RCFT viewpoint on edge excitations of these sequences. 
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P. Degiovanni; R. Melin; K. Chaubet. Conformal field theory approach to gapless 1D fermion systems and application to the edge excitations of $\nu =1/(2p+1)$ quantum Hall sequences. Teoretičeskaâ i matematičeskaâ fizika, Tome 117 (1998) no. 1, pp. 5-91. http://geodesic.mathdoc.fr/item/TMF_1998_117_1_a1/

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