Partition function of Chern–Simons theory as renormalized [formula omitted]-dimension.

We calculate q -dimension of k th Cartan power of fundamental representation Λ 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. [ABSTRACT FROM AUTHOR]