All-time existence conjecture for Ricci Yang-Mills flow with nontrivial curvature power

Let $(M^{2n},g)$ be a Riemannian manifold, let $L\to M$ be the total space of a $U(1)$-bundle over $M$, and let $A$ be a connection on $L$ with curvature $F$ such that

$$[F^{\wedge n}]\neq 0.$$

All-time existence conjecture. The solution to the Ricci Yang-Mills flow with initial condition $(g,A)$ exists for all time.

This conjecture proposes that the indicated nonvanishing topological condition prevents finite-time singularities for the Ricci Yang-Mills flow. The paper establishes all-time existence in several surface cases under additional hypotheses, but the general even-dimensional assertion remains unresolved.