From 3d duality to 2d duality

  title={From 3d duality to 2d duality},
  author={Ofer Aharony and Shlomo S. Razamat and Brian Willett},
  journal={Journal of High Energy Physics},
A bstractIn this paper we discuss 3dN$$ \mathcal{N} $$ = 2 supersymmetric gauge theories and their IR dualities when they are compactified on a circle of radius r, and when we take the 2d limit in which r → 0. The 2d limit depends on how the mass parameters are scaled as r → 0, and often vacua become infinitely distant in the 2d limit, leading to a direct sum of different 2d theories. For generic mass parameters, when we take the same limit on both sides of a duality, we obtain 2d dualities… 

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