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The critical properties of the QED$_{3}$ Gross-Neveu-Yukawa (GNY) model in2+1 dimensions with $N$ flavors of two-component Dirac fermions are computed tofirst order in the $1/N$ expansion. For the specific case of $N=2$, thecritical point is conjectured to be dual to the N\'eel-to-valence-bond-solid(VBS) deconfined critical point of quantum antiferromagnets on the squarelattice. It is found that Aslamazov-Larkin diagrams, missed by previous$\epsilon$- and $1/N$-expansion studies with four-component fermions, giveimportant contributions to the scaling dimensions of various operators. Withthe inclusion of these diagrams, the resummed scaling dimensions of the adjointfermion bilinear and scalar field at the QED$_{3}$ GNY critical point are inreasonable agreement with numerical studies of the N\'eel-to-VBS transition, insupport of the duality conjecture.

Deconfined criticality in the QED$_{3}$ Gross-Neveu-Yukawa model: The $1/N$ expansion revisited