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Title:
N=2 supersymmetric gauge theories on S2 x S2 and Liouville gravity
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Abstract:
We describe N=2 supersymmetric theories on compact four-manifolds admitting a U(1) isometry. We show that the partition function on S^2 x S^2 contains as building blocks the three point functions and conformal blocks of Liouville gravity. Finally, we briefly discuss contour integral formulae for Donaldson polynomials and their computation via CFT.
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