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 SU(N) theories by gauging topological U(1) symmetry of the Seiberg-like dual of U(N) theories with the same matter content. We work out the Aharony dualities for SU(N) gauge theory with N f fundamental/anti-fundamnetal flavors, with/without one adjoint matter with the superpotential. We also work out the Giveon-Kutasov dualities for SU(N) gauge theory with Chern-Simons term and with N f fundamental/anti-fundamental flavors. For all the proposed dualities, we give various evidences such as chiral ring matching and the superconformal index computations. We find the perfect matchings.

Repeat GKSR provides a similar rate of pain relief as the first procedure. The best responses were observed in patients who had good pain control after the first procedure and those who developed new sensory dysfunction in the affected trigeminal distribution.

We study the Aharony duality for three dimensional N = 2 supersymmetric gauge theories for orthogonal gauge groups with matters in vector representation. We provide the evidence for the duality by working out the partition function on S 3 and the superconformal index, which show perfect agreement.

We work out the superconformal index for N = 2 supersymmetric Chern-Simons matter theories exhibiting Seiberg-like dualities proposed by Giveon and Kutasov. We consider U(N)/Sp(2N)/O(N) gauge theories of QCD type and find the perfect agreements for proposed dual pairs.