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 one to describe a quantum Hall fluid at Jain hierarchical filling, [Formula: see text], in terms of one charged scalar field and m - 1 neutral ones. Then the resulting algebra of the chiral primary fields is U(1)×[Formula: see text]. Finally the ground state wave functions are given as correlators of appropriate composite fields (a-electrons).