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

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A bstractThis paper tests a conjecture on discrete non-Abelian gauging of 3dN=4$$ \mathcal{N}=4 $$ supersymmetric quiver gauge theories. Given a parent quiver with a bouquet of n nodes of rank… Click to show full abstract

A bstractThis paper tests a conjecture on discrete non-Abelian gauging of 3dN=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 Sn 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 Sn discrete global symmetry is gauged and 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 C2 factor in the global symmetry.

Keywords: discrete gauging; global symmetry; gauging coulomb; mathcal supersymmetric; coulomb; gauge theories

Journal Title: Journal of High Energy Physics
Year Published: 2018

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