abstract: Argyres-Douglas theory is a four-dimensional N=2 superconformal
field theory (SCFT) which is isolated, and simplest in a sense that the
central charge saturates the lower bound for interacting
N=2 SCFTs. In this talk, we see the correspondence between this theory and
its generalizations with SU(2) and SU(3) global symmetries and Painleve I,
II, and IV equations. We first study the Seiberg-Witten curves of the former
and the relation to the spectral curve of the latter isomonodromic problem.
We then provide long-distance expansion for the Painleve tau-function which
is identified with the partition function of Argyres-Douglas theories at
self-dual Omega background.