UV-to-IR line-operator categorification conjecture

Let $C(S,S):=\operatorname{Hom}_{\mathrm{Ft}(M,\Omega_I)}(S,S)$ and $C(S,F_b)$ be the corresponding Fueter Hom-categories, with the functor $RG_b(\zeta):C(S,S)\to C(S,F_b)$ induced by the action of $C(S,S)$ on the object $X_0(\zeta)$. UV-to-IR categorification conjecture. The functor $RG_b(\zeta)$ categorifies the map expanding UV line operators in terms of IR line operators. This proposes a categorical lift of the UV-to-IR expansion map for line operators; the source gives no resolution.