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arXiv · hep-th/0406243

Multi instanton calculus on ALE spaces

Francesco Fucito·Jose F. Morales·Rubik Poghossian
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Abstract

We study SYM gauge theories living on ALE spaces. Using localization formulae we compute the prepotential (and its gravitational corrections) for SU(N) supersymmetric ${\cal N}=2, 2^*$ gauge theories on ALE spaces of the $A_n$ type. Furthermore we derive the Poincaré polynomial describing the homologies of the corresponding moduli spaces of self-dual gauge connections. From these results we extract the ${\cal N}=4$ partition function which is a modular form in agreement with the expectations of $SL(2,\Z)$ duality.

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Francesco Fucito, Jose F. Morales, Rubik Poghossian. 2004-10-01. Multi instanton calculus on ALE spaces. https://doi.org/10.1016/j.nuclphysb.2004.09.014

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