Partition function of Chern-Simons theory as renormalized q-dimension

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 $q\to 1$, and with natural renormalization, it is equal to universal partition function of Chern-Simons theory on three-dimensional sphere.

8 pages

References in corpus (2)

• A brief review of E theory
• On a Gopakumar-Vafa form of partition function of Chern-Simons theory on classical and exceptional lines

Cited by in corpus (7)

• Macdonald deformation of Vogel's universality and link hyperpolynomials
• On Universal Eigenvalues of Casimir Operator
• On Refined Vogel's universality
• $X_2$ series of universal quantum dimensions
• Vogel's universality and Macdonald dimensions
• Torus knots in adjoint representation and Vogel's universality
• Torus Knots in Adjoint Representation