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The global phase diagram of a modular invariant two dimensional statistical model

G. Cristofano·D. Giuliano·G. Maiella
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Abstract

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.

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G. Cristofano, D. Giuliano, G. Maiella. 2000-11-09. The global phase diagram of a modular invariant two dimensional statistical model. https://doi.org/10.1016/s0370-2693(01)00177-0

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