arXiv:cond-mat/9702039 Abstract

arXiv:cond-mat/9702039Abstract References Reviews Resources

Chiral Vertices, Fusion Rules and Vacua of Fractional Quantum Hall Systems

Published 1997-02-04, updated 1997-07-07Version 7

Vacua of two dimensional incompressible system, such as Fractional Quantum Hall system, are characterized by rational conformal field theory. We develop a method to express the wavefunctions of those systems in terms of chiral vertices. We formulate quantum mechanics on those expressions, which reveals the underlying simple structure of the conformal field theory discription of FQH systems. Also we argue the recent conjecture of Nayak and Wilczek on the spinor statistics of 2n quasihole state in paired quantum hall system.

Comments: Latex,26 pages, Mistakes in Sec.3.2 and Sec.4 are corrected. Latex and English corrections

Categories: cond-mat.mes-hall, cond-mat.stat-mech, cond-mat.str-el, hep-th, math-ph, math.MP

Keywords: fractional quantum hall system, chiral vertices, fusion rules, conformal field theory discription, rational conformal field theory

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