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Record: oai:ARNO:369235

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AuthorsB. Estienne, B.A. Bernevig, R. Santachiara
TitleElectron-quasihole duality and second-order differential equation for Read-Rezayi and Jack wave functions
JournalPhysical Review B
Volume82
Year2011
Issue20
Pages205307-
ISSN10980121
FacultyFaculty of Science
Institute/dept.FNWI: Institute for Theoretical Physics (ITF)
AbstractWe consider the quasihole wave functions of the non-Abelian Read-Rezayi quantum-Hall states which are given by the conformal blocks of the minimal model WAk−1(k+1,k+2) of the WAk−1 algebra. By studying the degenerate representations of this conformal field theories, we derive a second-order differential equation satisfied by a general many-quasihole wave function. We find a duality between the differential equations fixing the electron and quasihole wave functions. They both satisfy the Laplace-Beltrami equation. We use this equation to obtain an analytic expression for the generic wave function with one excess flux. These results also apply to the more general models WAk−1(k+1,k+r) corresponding to the recently introduced Jack states.
Document typeArticle
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