Planar Abelian Duals of Chern-Simons QCD

Abstract

We propose novel infrared dualities connecting 2+1 dimensional non-Abelian gauge theories (with unitary or special unitary gauge groups) to Abelian gauge theories. The dual Abelian theories are characterized by a planar quiver structure, where interactions are fully encoded in the quiver diagram. These dualities are rooted in supersymmetric mirror symmetry and display the characteristic exchange of mesonic and monopole operators. Furthermore, our proposed dualities exhibit features of bosonization: the addition of a fermionic (bosonic) flavor to the non-Abelian side corresponds to the addition of a bosonic (fermionic) column in the dual planar quiver.