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We consider quiver forms that appear in the motivic Donaldson-Thomasgenerating series or characters of conformal field theories and relate them to3d $\mathcal{N}=2$ theories on $D^2 \times_q S^1$ with certain boundaryconditions preserving 2d $\mathcal{N}=(0,2)$ supersymmetry. We apply this tothe 3d-3d correspondence and provide a Lagrangian description of 3d$\mathcal{N}=2$ theories $T[M_3]$ for 3-manifolds $M_3$ in several contexts.

3d-3d Correspondence and 2d $\mathcal{N}=(0,2)$ Boundary Conditions