UV line operators and the Fueter endomorphism category conjecture

Let $\mathcal{T}$ be a four-dimensional $\mathcal{N}=2$ field theory with Seiberg–Witten integrable system $(M,\Omega_I)$ and holomorphic Lagrangian section $S$. Let $C(S,S):=\operatorname{Hom}_{\mathrm{Ft}(M,\Omega_I)}(S,S)$, using an appropriate wrapped Fueter 2-category. UV line-operator conjecture. The monoidal category $C(S,S)$ is the category of supersymmetric UV line operators of $\mathcal{T}$. This identifies the proposed Fueter endomorphism category with the UV line-operator category; the source gives no resolution.