3d dualities from 2d free field correlators: recombination and rank stabilization

Abstract

We propose various new 3d N=2 dualities exploiting their recently discovered connection to the duality relations for 2d free field CFT correlators. Most of the dualities involve, as the main building block, a quiver theory with monopole superpotential which enjoys various interesting properties such as being self-dual and reducing, in a suitable real mass deformation, to the familiar T[SU(N)] theory. In particular we propose a duality for the U(N) theory with one adjoint and k+1 fundamental flavors. By iterating some basic dualities we can bring the theory to a stable form which, in turns, allows us to find a dual frame where the rank of the original theory appears as a parameter.

79 pages, 16 figures; revised version

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• Compactifying 5d superconformal field theories to 3d
• Phases of $\mathcal{N}=1$ Quivers in $2+1$ Dimensions
• Sequential deconfinement in $3d$ $\mathcal{N}=2$ gauge theories
• Aspects of 4d supersymmetric dynamics and geometry
• Sequential deconfinement and self-dualities in $4d$ $\mathcal{N}=1$ gauge theories
• Boundary lines and Askey-Wilson type moments