Gauge Theories on ALE Space and Super Liouville Correlation Functions
Abstract
We present a relation between N=2 quiver gauge theories on the ALE space OP1(-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 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.
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