Seiberg-like dualities for 3d N=2 theories with SU(N) gauge group

Abstract

We work out Seiberg-like dualities for 3d N = 2 theories with SU(N) gauge group. We use the SL(2, Z) action on 3d conformal field theories with U(1) global symmetry. One of generator S of SL(2, Z) acts as gauging of the U(1) global symmetry. Utilizing S = S-1 up to charge conjugation, we obtain Seiberg-like dual of an SU(N) theory by gauging topological U(1) symmetry of the Seiberg-like dual of the U(N) theory with the same matter content. We work out the Aharony dualities for SU(N) gauge theory with N-f fundamental flavors, with/without one adjoint matter with the superpotential. We also work out the Giveon-Kutasov duality for the SU(N) gauge theory with Chern-Simons term and with N-f fundamental flavors. For all the proposed dualities, we give various evidences such as chiral ring matching and the superconformal index computation. We find the perfect matching.