A twisted conformal field theory description of the Quantum Hall Effect

Abstract

We construct an effective conformal field theory by using a procedure which induces twisted boundary conditions for the fundamental scalar fields. That allows to describe a quantum Hall fluid at Jain hierarchical filling, nu=m/(2pm+1), in terms of one charged scalar field and m-1 neutral ones. Then the resulting algebra of the chiral primary fields is U(1)xW_m. Finally the ground state wave functions are given as correlators of appropriate composite fields (a-electrons).

11 pages, plain Latex

References in corpus (2)

• Affine orbifolds and rational conformal field theory extensions of W_{1+infinity}
• An Affine String Vertex Operator Construction at Arbitrary Level

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