Hall viscosity in the non-Abelian quantum Hall matrix model

Matthew F. Lapa, Carl Turner, Taylor L. Hughes, David Tong

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Article number075133
JournalPhysical Review B
Issue number7
StatePublished - Aug 17 2018

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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