| dc.creator | Dorey, Nicholas | |
| dc.creator | Tong, David | |
| dc.creator | Turner, Carl | |
| dc.date.accessioned | 2016-07-27 | |
| dc.date.accessioned | 2018-11-24T23:19:20Z | |
| dc.date.available | 2016-09-19T14:29:05Z | |
| dc.date.available | 2018-11-24T23:19:20Z | |
| dc.date.issued | 2016-08-01 | |
| dc.identifier | https://www.repository.cam.ac.uk/handle/1810/260231 | |
| dc.identifier.uri | http://repository.aust.edu.ng/xmlui/handle/123456789/3425 | |
| dc.description.abstract | We study a U($\small N$) gauged matrix quantum mechanics which, in the large $\small N$ limit, is closely related to the chiral WZW conformal field theory. This manifests itself in two ways. First, we construct the left-moving Kac-Moody algebra from matrix degrees of freedom. Secondly, we compute the partition function of the matrix model in terms of Schur and Kostka polynomials and show that, in the large $\small N$ limit, it coincides with the partition function of the WZW model. This same matrix model was recently shown to describe non-Abelian quantum Hall states and the relationship to the WZW model can be understood in this framework. | |
| dc.language | en | |
| dc.publisher | Springer | |
| dc.publisher | Journal of High Energy Physics | |
| dc.rights | http://creativecommons.org/licenses/by/4.0/ | |
| dc.rights | http://creativecommons.org/licenses/by/4.0/ | |
| dc.rights | http://creativecommons.org/licenses/by/4.0/ | |
| dc.rights | Attribution 4.0 International | |
| dc.rights | Attribution 4.0 International | |
| dc.rights | Attribution 4.0 International | |
| dc.subject | Chern-Simons theories | |
| dc.subject | conformal and W symmetry | |
| dc.subject | matrix models | |
| dc.title | A matrix model for WZW | |
| dc.type | Article | |
