Fractional quantum Hall effect and nonabelian statistics

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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17 pages

Scientific paper

10.1143/PTPS.107.157

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.

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