ABJM Mirrors and a Duality of Dualities
arXiv:0906.3013 · doi:10.1088/1126-6708/2009/09/004
Abstract
We clarify how mirror symmetry acts on 3d theories with N=2,3 or 4 supersymmetries and non-abelian Chern-Simons terms and then construct many new examples. We identify a new duality, geometric duality, that allows us to generate large families of gauge theories, with and without Chern-Simons term, that all flow to the same conformal field theory in the infrared. In particular, we find an interesting duality of dualities: a pair of theories related via mirror symmetry can be mapped, via geometric duality, into a pair of gauge theories related by Seiberg duality. This network of dualities can be understood as the simple result that all of these theories are different realizations of one and the same system in M-theory.
22 pages, 8 figures. v2: references added
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- Comments on 3d Seiberg-like dualities
- Nonperturbative Tests of Three-Dimensional Dualities
- Chiral flavors and M2-branes at toric CY4 singularities
- Supersymmetric Renyi Entropy
- Redeeming Bad Theories
- Embedding three-dimensional bosonization dualities into string theory
- Adding Flavor to AdS4/CFT3
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- Effective action of three-dimensional extended supersymmetric matter on gauge superfield background
- Low-energy effective actions in three-dimensional extended SYM theories
- Tests of Seiberg-like Duality in Three Dimensions
- ABJ Wilson loops and Seiberg Duality
- Localization and Duality for ABJM Latitude Wilson Loops
- On the exact R charge for N=2 CS theories
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