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A matrix model for WZW
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DOI：10.1007/JHEP08(2016)007.png)
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Abstract
En 中文
We study a U(N) gauged matrix quantum mechanics winch, 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 Nostka 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.
Keywords:
Chern-Simons Theories
Conformal and W Symmetry
Matrix Models
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