A DUAL 2D MODEL FOR THE QUANTUM HALL FLUID

We present a dual 2D statistical model to describe the physical proper ties of a Quantum Hall Fluid. Such a model depends on a coupling const ant g and an angular variable theta, which couples the electric and th e magnetic charges. We show that it has topologically non trivial vacu a (corresponding to rational values of the filling), which are infrare d stable fixed points of the renormalization group. Moreover its parti tion function has a dual infinite discrete symmetry, SL(2, Z), which r eproduces the phenomenological laws of corresponding states. Such a sy mmetry allows for an unified description of its fixed points in terms of a 2D Conformal Field Theory with central charge c = 1.