Abstract
We start with the recently conjectured 3d bosonization dualities and gauge global symmetries to generate an infinite sequence of new dualities. These equate theories with non-Abelian product gauge groups and bifundamental matter. We uncover examples of Bose/Bose and Fermi/Fermi dualities, as well as a sequence of dualities between theories with scalar matter in two-index representations. Our conjectures are consistent with level/rank duality in massive phases.
Highlights
Set to its non-trivial Wilson-Fisher (WF) fixed point value, that is, to the attractive IR fixed point
Our conjectures are consistent with level/rank duality in massive phases
What is meant by this last item is the following. On both sides of (1.2) and (1.3), we can deform by a mass operator to obtain a topological field theory (TFT) at low energies, with different TFTs arising depending on the sign choice for the deformation
Summary
Let us demonstrate the basic idea with a simple example. We conjecture a duality between a product gauge group with a bifundamental scalar X and a different product gauge group with a bifundamental fermion ψ as summarized in the following table. If k2 > k1 we can exchange the two gauge group factors This duality can be derived from the seed (1.2) by taking k = k1, N = N1, and Nf = k2, tuning the flavor Chern-Simons level on both sides to match, and gauging the U(Nf ) flavor symmetry on both sides. The shift in the CS level of the second gauge group factor is needed to reproduce the same topological field theory in the infrared after mass deformations on both sides Both sides of the new duality have a single conserved charge, which can be understood to be a monopole number. Observe that there is no mixed abelian Chern-Simons term in theory A
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