3d dualities from 2d free field correlators: recombination and rank stabilization
Sara Pasquetti, Matteo Sacchi
Abstract
A bstract We propose various new 3 d $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 2 dualities exploiting their recently discovered connection to the duality relations for 2 d 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.