Hall Viscosity in the Non-Abelian Quantum Hall Matrix Model

TL;DR

This paper extends the calculation of Hall viscosity from matrix models of Laughlin states to non-Abelian quantum Hall states, showing consistency with conformal field theory predictions.

Contribution

It introduces a method to compute Hall viscosity for non-Abelian quantum Hall states using matrix models, linking it to conformal field theory data.

Findings

Hall viscosity for non-Abelian states matches conformal field theory predictions

Matrix models successfully capture topological viscosity properties

Results generalize previous Laughlin state calculations

Abstract

Quantum Hall matrix models are simple, solvable quantum mechanical systems which capture the physics of certain fractional quantum Hall states. Recently, it was shown that the Hall viscosity can be extracted from the matrix model for Laughlin states. Here we extend this calculation to the matrix models for a class of non-Abelian quantum Hall states. These states, which were previously introduced by Blok and Wen, arise from the conformal blocks of Wess-Zumino-Witten conformal field theory models. We show that the Hall viscosity computed from the matrix model coincides with a result of Read, in which the Hall viscosity is determined in terms of the weights of primary operators of an associated conformal field theory.