$QC{D}_3$ Dualities and the F-Theorem

Abstract

There has recently been a surge of new ideas and results for 2+1 dimensional gauge theories. We consider a recently proposed duality for 2+1 dimensional QCD, which predicts a symmetry-breaking phase. Using the F-theorem, we find bounds on the range of parameters for which the symmetry-breaking phase (and the corresponding duality) can occur. We find exact bounds for an $SU(2)$ gauge theory, and approximate bounds for an $SU(N)$ gauge theory with $N>2$.

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• From 3d dualities to hadron physics
• Metastable Vacua in Large-$N$ QCD${}_3$
• Quark distribution inside a pion in many-flavor (2 + 1)-dimensional QCD using lattice computations: UV listens to IR
• Charting the phase diagram of QCD${}_3$
• Free Energy on the Sphere for Non-Abelian Gauge Theories
• Phases of Flavor Broken QCD${}_3$