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Partition function of Chern-Simons theory as renormalized q-dimension
Published 11 Sep 2017 in hep-th and math.RT | (1709.03261v1)
Abstract: We calculate $q$-dimension of $k$-th Cartan power of fundamental representation $\Lambda_0$, corresponding to affine root of affine simply laced Kac-Moody algebras, and show that in the limit $q\rightarrow 1 $, and with natural renormalization, it is equal to universal partition function of Chern-Simons theory on three-dimensional sphere.
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