2015/06/12 by Hwang, Chiung, Park, Jaemo · 1 citation
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.1506.03951
We work out the factorization of the 3d superconformal index for N = 2 U(Nc) gauge theory withone adjoint chiral multiplet as well as Nf fundamental, Na anti-fundamental chiral multiplets. Using the factorization,one can prove the Seiberg-like duality for N = 4 U(Nc) theory with Nf hypermultiplets at the index level. We explicitlyshow that monopole operators violating unitarity bound in a bad theory are mapped to free hypermultiplets in the dual side. For N = 2 U(Nc) theory with one adjoint matter X, Nf fundamental, Na anti-fundamental chiral multiplets with superpotential W = tr Xn+1, we work out Seiberg-like duality for this theory. The index computation provides combinatorial identities for a dual pair, which we carry out intensive numerical checks.