The colored Jones polynomials as vortex partition functions

Masahide Manabe, Seiji Terashima, Yuji Terashima

We construct 3D $\mathcal{N}=2$ abelian gauge theories on ${\mathbb{S}}^2\times {\mathbb{S}}^1$ labeled by knot diagrams whose K-theoretic vortex partition functions, each of which is…