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arxiv: 1312.3627 · v3 · submitted 2013-12-12 · ✦ hep-th

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Higgs branch localization of 3d N=2 theories

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classification ✦ hep-th
keywords theoriesbranchlocalizationfactorizationfunctionshiggspartitionsupersymmetric
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We study N=2 supersymmetric gauge theories on squashed 3-sphere and S^1xS^2. Recent studies have shown that the partition functions in a class of N=2 theories have factorized forms in terms of vortex and anti-vortex partition functions by explicitly evaluating matrix integrals obtained from Coulomb branch localization. We directly derive this structure by performing Higgs branch localization. It turns out that more general N=2 theories have this factorization property. We also discuss the factorization of supersymmetric Wilson loop.

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