A Matrix Model for WZW
In: Journal of High Energy Physics; (2016)
Online
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Zugriff:
We study a U(N) gauged matrix quantum mechanics which, in the large 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 $N$ 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.
Science and Technology Facilities Council; European Research Council under the European Union’s Seventh Framework Programme (FP7/2007-2013), ERC grant agreement STG 279943, “Strongly Coupled Systems”
This is the final version of the article. It first appeared from Springer via http://dx.doi.org/10.1007/JHEP08(2016)007
| Titel: |
A Matrix Model for WZW
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| Autor/in / Beteiligte Person: | Turner, Carl ; Tong, David ; Dorey, Nick ; Tong, David [0000-0001-9120-2174] ; Turner, Carl [0000-0001-7202-5731] ; Apollo - University of Cambridge Repository |
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| Quelle: | Journal of High Energy Physics; (2016) |
| Veröffentlichung: | arXiv, 2016 |
| Medientyp: | unknown |
| DOI: | 10.48550/arxiv.1604.05711 |
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