Quantum Riemannian limit conjecture for collapsing CFTs

Consider the collapsing family of unitary conformal field theories described above, with $\lambda_{\min}$ the minimal eigenvalue of the non-negative operator $L_0+\overline{L}_0$. Rescale $L_0+\overline{L}_0$ by $\lambda_{\min}^{-1}$. A quantum Riemannian $1$-space is the noncommutative geometric limit object defined in the source, and $CD(0,\infty)$ denotes the stated curvature-dimension inequality for its limiting operator. Quantum Riemannian limit conjecture. After this rescaling, there is a limit of the unitary CFTs in the sense of the source's topology, which is a quantum Riemannian $1$-space, such that the limiting operator $L$ obtained from $(L_0+\overline{L}_0)/\lambda_{\min}$ satisfies $CD(0,\infty)$. This conjecture predicts that collapsed CFTs admit noncommutative Riemannian limits with non-negative Ricci curvature in the curvature-dimension sense; the source gives no resolution.