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arXiv · 1909.04036

New and Old Fermionic Dualities from 3d Bosonization

Kyle Aitken·Changha Choi·Andreas Karch
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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.

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Kyle Aitken, Changha Choi, Andreas Karch. 2019-09-09. New and Old Fermionic Dualities from 3d Bosonization. https://doi.org/10.1007/jhep01(2020)035

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