The global phase diagram of a modular invariant two dimensional statistical model
نویسنده
چکیده
A generalization of the Coulomb Gas model with modular SL(2, Z)symmetry allows for a discrete infinity of phases which are characterized by the condensation of dyonic pseudoparticles and the breaking of parity and time reversal. Here we study the phase diagram of such a model by using renormalization group techniques. Then the symmetry SL(2, Z) acting on the two-dimensional parameter space gives us a nested shape of its global phase diagram and all the infrared stable fixed points. Finally we propose a connection with the 2-dimensional Conformal Field Theory description of the Fractional Quantum Hall Effect. Work supported in part by the European Commission RTN programme HPRN-CT-2000-00131 . 1
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