Hall Viscosity in the Non-Abelian Quantum Hall Matrix Model

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.

arXiv commentv2: 9 pages, references added, to appear in PRB

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• Bardeen-Cooper-Schrieffer pairing of composite fermions
• Geometric quench in the fractional quantum Hall effect: exact solution in quantum Hall matrix models and comparison with bimetric theory
• Hall Viscosity of Composite Fermions
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• Hall Viscosity of the Composite-Fermion Fermi Seas for Fermions and Bosons