Gauge Theories on ALE Space and Super Liouville Correlation Functions

Details Gauge Theories on ALE Space and Super Liouville Correlation Functions Gauge Theories on ALE Space and Super Liouville Correlation Functions

2011-07-22

arxiv.org/abs/1107.4609v2

Physics

High Energy Physics

High Energy Physics - Theory

24 pages; v2: published version

Scientific paper

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.

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