期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 5, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP05(2015)111
关键词
Supersymmetric gauge theory; Nonperturbative Effects; Extended Supersymmetry; Solitons Monopoles and Instantons
资金
- spanish grant [MINECO-13-FPA2012-35043-C02-02]
- Ramon y Cajal [RYC-2011-07593]
- EU CIG grant [UE-14-GT5LD2013-618459]
- COST action [COST-MP1210]
- Asturias government Clarin FICYT [ACB14-27]
We consider N = 2 supersymmetric pure gauge theories on toric Kahler manifolds, with particular emphasis on CP2. 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.
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