Partition function of Chern-Simons theory as renormalized q-dimension
Abstract
We calculate q-dimension of k-th Cartan power of fundamental representation 0, corresponding to affine root of affine simply laced Kac-Moody algebras, and show that in the limit q→ 1 , and with natural renormalization, it is equal to universal partition function of Chern-Simons theory on three-dimensional sphere.
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