Seiberg-Witten prepotential from WZNW conformal block: Langlands duality and Selberg trace formula

Abstract

We show how SU(2) $N_f=4$ Seiberg-Witten prepotentials are derived form $\hat{\mathfrak{sl}}_{2,k}$ ($k\to2$) four-point conformal blocks via considering Langlands duality.