Abstract
Seiberg-like dualities in 2 + 1d quiver gauge theories with 4 supercharges are investigated. We consider quivers made of various combinations of classical gauge groups U(N), Sp(N), SO(N) and SU(N). Our main focus is the mapping of the supersymmetric monopole operators across the dual theories. There is a simple general rule that encodes the mapping of the monopoles upon dualizing a single node. This rule dictates the mapping of all the monopoles which are not dressed by baryonic operators. We also study more general situations involving baryons and baryon-monopoles, focussing on three examples: SU − Sp, SO − SO and SO − Sp quivers.
Highlights
We study quivers with only two nodes, the results allow to find the general rule for the mapping of supersymmetric monopole operators under Seiberg duality
The monopole operators generating the chiral ring are similar to the ones discussed for TB: we have the ones with flux on the gauge nodes M±C,± and the ones dressed with the adjoint field φC : {(M±C,0)φJc }
In this note we discussed Seiberg-like dualities for two-node quiver theories with various gauge groups, paying particular attention to the mapping of monopole operators across the duality
Summary
We study quivers with gauge groups U(N ) and Sp(N ). We discuss in great detail the global symmetries of the supersymmetric monopole operators which are generators of the chiral ring and we exhibit the map of the full set of chiral generators. This is enough to find the general rule for the mapping of the chiral ring operators in arbitrary quivers, which is the main goal of this paper
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