The global phase diagram of a modular invariant two dimensional statistical model
High Energy Physics - Theory
2009-10-31 v1
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.
Keywords
Cite
@article{arxiv.hep-th/0011069,
title = {The global phase diagram of a modular invariant two dimensional statistical model},
author = {G. Cristofano and D. Giuliano and G. Maiella},
journal= {arXiv preprint arXiv:hep-th/0011069},
year = {2009}
}
Comments
17 pages LaTeX + 1 figure