Equivariant U(N) Verlinde algebra from Bethe/Gauge correspondence

Hiroaki Kanno, Katsuyuki Sugiyama, Yutaka Yoshida

We compute the topological partition function (twisted index) of $\mathcal{N}=2$ $U(N)$ Chern-Simons theory with an adjoint chiral multiplet on ${\Sigma }_g\times S^1$. The localization t…