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arXiv · 1312.3627

Higgs branch localization of 3d N=2 theories

Masashi Fujitsuka·Masazumi Honda·Yutaka Yoshida
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Abstract

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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Masashi Fujitsuka, Masazumi Honda, Yutaka Yoshida. 2013-12-12. Higgs branch localization of 3d N=2 theories. https://doi.org/10.1093/ptep%2Fptu158

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