3d-3d correspondence and 2d \(\mathcal{N}\) = (0, 2) boundary conditions

We consider quiver forms that appear in the motivic Donaldson-Thomas generating series or characters of conformal field theories and relate them to 3d \(\mathcal{N}\) = 2 theories on D² ×_q S¹ with certain boundary conditions preserving 2d \(\mathcal{N}\) = (0, 2) supersymmetry. We apply this to the 3d-3d correspondence and provide a Lagrangian description of 3d \(\mathcal{N}\) = 2 theories T[M₃] with 2d \(\mathcal{N}\) = (0, 2) boundary conditions for 3-manifolds M₃ in several contexts.