A matrix model for WZW

DOI10.1007/JHEP08(2016)007zbMATH Open1390.81210arXiv1604.05711MaRDI QIDQ1638988

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Publication date: 12 June 2018

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Abstract: 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.

Full work available at URL: https://arxiv.org/abs/1604.05711

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