Coulomb gas representation of quantum Hall effect on Riemann surfaces

Abstract

Using the correlation function of chiral vertex operators of the Coulomb gas model, we find the Laughlin wavefunctions of quantum Hall effect, with filling factor $\nu =1/m$, on Riemann sufaces with Poincare metric. The same is done for quasihole wavefunctions. We also discuss their plasma analogy.

10 pages, LaTex, the paper is completely rewritten, It will be appeared in : Jour. Phys. A 32 (1999)

References in corpus (6)

• Quantum mechanics and quantum Hall effect on Riemann surfaces
• Landau Levels and Quantum Group
• Intrinsic quasiparticle's spin and fractional quantum Hall effect on Riemann surfaces
• Laughlin states on the sphere as representations of Uq(sl(2))
• Laughlin states on the Poincare half-plane and its quantum group symmetry
• Quantum group symmetry of the Quantum Hall effect on the non-flat surfaces

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• Quantum Hall effect on the Lobachevsky plane
• Zero modes of various graphene configurations from the index theorem