Nonlinear stability conjecture for supersymmetric compactifications in three spatial dimensions

Let $(\mathbb{R}^{1+3}\times K,\hat{g})$ be a spacetime with a supersymmetric compactification. Nonlinear stability conjecture. Spacetimes with a supersymmetric compactification and $n=3$ are nonlinearly stable. The conjecture proposes extending the paper's global nonlinear stability result from $n\geq 9$ to three spatial dimensions; the source does not specify a precise perturbative formulation or indicate whether it has been resolved.