$(q,t)$-KZ equations for quantum toroidal algebra and Nekrasov partition functions on ALE spaces

H. Awata, H. Kanno, A. Mironov +3

We describe the general strategy for lifting the Wess-Zumino-Witten model from the level of one-loop Kac-Moody $U_q(\hat{\mathfrak{g}}{)}_k$ to generic quantum toroidal algebras.…