Hall viscosity in the non-Abelian quantum Hall matrix model
Accepted version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Lapa, MF
Turner, Carl https://orcid.org/0000-0001-7202-5731
Hughes, TL
Tong, David https://orcid.org/0000-0001-9120-2174
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.
Description
Keywords
cond-mat.str-el, cond-mat.str-el, hep-th
Journal Title
Physical Review B
Conference Name
Journal ISSN
2469-9950
2469-9969
2469-9969
Volume Title
98
Publisher
American Physical Society (APS)
Publisher DOI
Sponsorship
Royal Society (WM160059)
Science and Technology Facilities Council (ST/P000681/1)
Science and Technology Facilities Council (ST/P000681/1)