Multiple Edge Partition Functions For Fractional Quantum Hall States

Abstract

We consider the multiple edge states of the Laughlin state and the Pfaffian state. These edge states are globally constrained through the operator algebra of conformal field theory in the bulk. We analyze these constraints by introducing an expression of quantum hall state by the chiral vertex operators and obtain the multiple edge partition functions by using the Verlinde formula.

Latex.16page, typos corrected, to appear in Int.J.Mod.Phys.A

References in corpus (4)

• Edge excitations of paired fractional quantum Hall states
• Modular Invariant Partition Functions in the Quantum Hall Effect
• The Haldane-Rezayi Quantum Hall State and Conformal Field Theory
• Fusion & Tensoring of Conformal Field Theory and Composite Fermion Picture of Fractional Quantum Hall Effect