Vortices and 3 dimensional dualities
arXiv:1204.3895
Abstract
We study a supersymmetric partition function of topological vortices in 3d N=4,3 gauge theories on R^2 x S^1, and use it to explore Seiberg-like dualities with Fayet-Iliopoulos deformations. We provide a detailed support of these dualities and also clarify the roles of vortices. The N=4 partition function confirms the proposed Seiberg duality and suggests nontrivial extensions, presumably at novel IR fixed points with enhanced symmetries. The N=3 theories with nonzero Chern-Simons term also have non-topological vortices in the partially broken phases, which are essential for the Seiberg duality invariance of the spectrum. We use our partition function to confirm some properties of non-topological vortices via Seiberg duality in a simple case.
46 pages, 2 figures
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- Exact Results in D=2 Supersymmetric Gauge Theories
- Higgs branch localization in three dimensions
- Instantons on the 5-sphere and M5-branes
- Higgs branch localization of 3d N=2 theories
- Disorder Operators in Chern-Simons-Fermion Theories
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- Quantum vortices, M2-branes and black holes
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- Mirror symmetry of 3d gauge theories and supersymmetric indices
- ABJ Wilson loops and Seiberg Duality
- Duality between N=5 and N=6 Chern-Simons matter theory
- Factorization of the 3d superconformal index
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