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• W2951341275 abstract "We consider $mathcal{N}=2$ supersymmetric pure gauge theories on toric Kahler manifolds, with particular emphasis on $mathbb{CP}^2$. By choosing a vector generating a $U(1)$ action inside the torus of the manifold, we construct equivariantly twisted theories. Then, using localization, we compute their supersymmetric partition functions. As expected, these receive contributions from a classical, a one-loop, and an instanton term. It turns out that the one-loop term is trivial and that the instanton contributions are localized at the fixed points of the $U(1)$. In fact the full partition function can be re-written in a factorized form with contributions from each of the fixed points. The full significance of this is yet to be understood." @default.
• W2951341275 created "2019-06-27" @default.
• W2951341275 creator A5054744174 @default.
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• W2951341275 date "2014-12-14" @default.
• W2951341275 modified "2023-09-24" @default.
• W2951341275 title "Partition functions for equivariantly twisted $mathcal{N}=2$ gauge theories on toric Kahler manifolds" @default.
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