Matrix model for non-Abelian quantum Hall states
Accepted version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Dorey, N
Tong, David https://orcid.org/0000-0001-9120-2174
Turner, Carl https://orcid.org/0000-0001-7202-5731
Abstract
We propose a matrix quantum mechanics for a class of non-Abelian quantum Hall states. The model describes electrons which carry an internal SU(p) spin. The ground states of the matrix model include spin-singlet generalisations of the Moore-Read and Read-Rezayi states and, in general, lie in a class previously introduced by Blok and Wen. The effective action for these states is a U(p) Chern-Simons theory. We show how the matrix model can be derived from quantisation of the vortices in this Chern-Simons theory and how the matrix model ground states can be reconstructed as correlation functions in the boundary WZW model.
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
94
Publisher
American Physical Society (APS)
Publisher DOI
Sponsorship
Science and Technology Facilities Council (ST/L000385/1)
European Research Council (279943)
European Research Council (279943)
Science and Techonology Facilities Council; European Research Council under the European Union’s Seventh Framework Programme (FP7/2007-2013), ERC Grant Agreement No. STG 279943, “Strongly Coupled Systems”