Hyperbolicity and infinite diameter conjecture for the complex of parabolic subgroups

Let $A_S$ be an irreducible non-cyclic FC type Artin group, and let ${\mathcal{CP}_{A_S}}$ denote its complex of parabolic subgroups. Hyperbolicity and infinite-diameter conjecture. The complex ${\mathcal{CP}_{A_S}}$ is an infinite-diameter hyperbolic space. The paper establishes infinite diameter in several cases, including FC type Artin groups whose defining graph is not a join, while the asserted hyperbolicity and the remaining join cases are open.