Seiberg-like Dualities for 3d N=2 Theories with SU(N) gauge group

Understand

We work out Seiberg-like dualities for 3d $\mathcal{N}=2$ theories with SU(N) gauge group.

• We use the $SL(2,\mathbb{Z})$ action on 3d conformal field theories with U(1) global symmetry.
• One of generator S of $SL(2,\mathbb{Z})$ acts as gauging of the U(1) global symmetry.
• Utilizing $S=S^{-1}$ up to charge conjugation, we obtain Seiberg-like dual of SU(N) theories by gauging topological U(1) symmetry of the Seiberg-like dual of U(N) theories with the same matter content.