ABJM Mirrors and a Duality of Dualities

Details ABJM Mirrors and a Duality of Dualities ABJM Mirrors and a Duality of Dualities

2009-06-16

arxiv.org/abs/0906.3013v2

JHEP 0909:004,2009

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 8 figures. v2: references added

Scientific paper

10.1088/1126-6708/2009/09/004

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.

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