Gauge Theories on ALE Space and Super Liouville Correlation Functions
Jul, 2011
22 pages
Published in:
- Lett.Math.Phys. 101 (2012) 103-124
e-Print:
- 1107.4609 [hep-th]
Report number:
- SISSA-39-2011-EP-FM
View in:
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Abstract: (arXiv)
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.Note:
- 24 pages; v2: published version
- conformal field theory
- supersymmetric gauge theory
- gauge field theory: quiver
- field theory: conformal
- supersymmetry: 1
- supersymmetry: 2
- correlation function
- partition function
- field theory: Liouville
- instanton
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