A_{N-1} conformal Toda field theory correlation functions from conformal N=2 SU(N) quiver gauge theories

Understand

We propose a relation between correlation functions in the 2d A_{N-1} conformal Toda theories and the Nekrasov instanton partition functions in certain conformal N=2 SU(N) 4d quiver gauge theories.

• Our proposal generalises the recently uncovered relation between the Liouville theory and SU(2) quivers.
• New features appear in the analysis that have no counterparts in the Liouville case.