Exact partition functions for the Ω-deformed N=2∗$$ \mathcal{N}={2}^{\ast } $$ SU(2) gauge theory

@article{Beccaria2016ExactPF,
  title={Exact partition functions for the $\Omega$-deformed N=2∗\$\$ \mathcal\{N\}=\{2\}^\{\ast \} \$\$ SU(2) gauge theory},
  author={Matteo Beccaria and G. Macorini},
  journal={Journal of High Energy Physics},
  year={2016},
  volume={2016},
  pages={1-24}
}
A bstractWe study the low energy effective action of the Ω-deformed N=2∗$$ \mathcal{N}={2}^{\ast } $$ SU(2) gauge theory. It depends on the deformation parameters ϵ1, ϵ2, the scalar field expectation value a, and the hypermultiplet mass m. We explore the plane mϵ1ϵ2ϵ1$$ \left(\frac{m}{\upepsilon_1},\frac{\upepsilon_2}{\upepsilon_1}\right) $$ looking for special features in the multi-instanton contributions to the prepotential, motivated by what happens in the Nekrasov-Shatashvili limit ϵ2 → 0… 
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