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

May 14, 2019
79 pages
Published in:
  • JHEP 01 (2020) 061
  • Published: Jan 13, 2020
e-Print:

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Abstract: (Springer)
We propose various new 3dN \mathcal{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.
Note:
  • 79 pages, 16 figures; revised version
  • Duality in Gauge Field Theories
  • Supersymmetry and Duality
  • Field Theories in Lower Dimensions
  • Supersymmetric Gauge Theory
  • mass: deformation
  • correlation function
  • superpotential
  • self-duality
  • monopole
  • gauge field theory: quiver