A dual 2D model for the Quantum Hall Fluid

TL;DR

This paper introduces a dual 2D model for the Quantum Hall Fluid that captures topologically non-trivial vacua, stable fixed points, and a unified description of critical points via conformal field theory, highlighting its symmetry and phase structure.

Contribution

It proposes a novel dual 2D model with topological and conformal features, providing a unified theoretical framework for Quantum Hall phenomena.

Findings

Model exhibits topologically non-trivial vacua

Identifies infrared stable fixed points

Reproduces phenomenological law of corresponding states

Abstract

We present a dual two dimensional model for the Quantum Hall Fluid depending on two parameters and show that this model has topologically non-trivial vacua which are infrared stable fixed points of the Renormalization Group. The model has a discrete (modular) symmetry which reproduces the fenomenological law of corresponding states and allows for an unified description of the critical points corresponding to Hall plateaus in terms of a 2 dimensional Conformal Field Theory.