New and Old Fermionic Dualities from 3d Bosonization

Abstract

We construct novel fermion-fermion dualities in $2+1$-dimensions using 3d bosonization dualities. This is achieved by relating two-node quiver theories using both the flavor-bounded and flavor-violated 3d bosonization dualities. Such quivers can be viewed as a generalization of the fermionic particle-vortex duality. A special case of these quivers exhibits a ${\mathbb{Z}}_2$ symmetry under interchange of the two nodes. Using orbifold techniques, we show that such dualities provide a novel way of deriving known 3d bosonization dualities with adjoint matter, thus unifying the non-Abelian bosonization dualities in an even larger duality web. We then use this construction to derive new dualities involving adjoint matter.

arXiv comment20+10 pages, 10 figures

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Cited by in corpus (2)

• Thermal order in large N conformal gauge theories
• Symmetry breaking at high temperatures in large N gauge theories