Discrete gauging in Coulomb branches of three dimensional N=4 $$ mathcal{N}=4 $$ supersymmetric gauge theories

Discrete gauging in Coulomb branches of three dimensional N=4 $$ mathcal{N}=4 $$ supersymmetric gauge theories

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Abstract This paper tests a conjecture on discrete non-Abelian gauging of 3d N=4 $$ mathcal{N}=4 $$ supersymmetric quiver gauge theories.Given a parent quiver with a bouquet of n nodes of rank 1, invariant under a discrete Shorts S n global symmetry, one can construct a daughter quiver where the bouquet is substituted by a single adjoint n node.Based on the main conjecture in this paper, the daughter quiver corresponds to a theory where the S n discrete global symmetry is gauged and Lumbrokinase the new Coulomb branch is a non-Abelian orbifold of the parent Coulomb branch.

We demonstrate and test the conjecture for three simply laced families of bouquet quivers and a non-simply laced bouquet quiver with C 2 factor in the global symmetry.