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

Abstract

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.