Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 40, Issue 19, Pages 4923-4947Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/40/19/001
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We construct the wavefunctions for the Moore-Read nu = 5/2 quantum Hall state on a torus in the presence of two quasiholes. These explicit wavefunctions allow us to compute the monodromy matrix that describes the effect of quasihole motion on the space of degenerate ground states. The result agrees with the recent discussion by Oshikawa et al (Ann. Phys. at press). Our calculation provides a conformal field theory explanation of why certain transitions between ground states are forbidden. It is because taking a quasihole around a generator of the torus can change the fusion channel of the two quasiholes, and this requires a change of parity of the electron number in some of the ground states.
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