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Fractional quantum Hall effect and nonabelian statistics

Research paper by N. Read, G. Moore

Indexed on: 03 Feb '92Published on: 03 Feb '92Published in: High Energy Physics - Theory



Abstract

It is argued that fractional quantum Hall effect wavefunctions can be interpreted as conformal blocks of two-dimensional conformal field theory. Fractional statistics can be extended to nonabelian statistics and examples can be constructed from conformal field theory. The Pfaffian state is related to the 2D Ising model and possesses fractionally charged excitations which are predicted to obey nonabelian statistics.