%0 Journal Article
%T Gauge Theories on ALE Space and Super Liouville Correlation Functions
%A Giulio Bonelli
%A Kazunobu Maruyoshi
%A Alessandro Tanzini
%J Mathematics
%D 2011
%I arXiv
%R 10.1007/s11005-012-0553-x
%X We present a relation between N=2 quiver gauge theories on the ALE space O_{P^1}(-2) and correlators of N=1 super Liouville conformal field theory, providing checks in the case of punctured spheres and tori. We derive a blow-up formula for the full Nekrasov partition function and show that, up to a U(1) factor, the N=2^* instanton partition function is given by the product of the character of \hat{SU}(2)_2 times the super Virasoro conformal block on the torus with one puncture. Moreover, we match the perturbative gauge theory contribution with super Liouville three-point functions.
%U http://arxiv.org/abs/1107.4609v2