This talk discusses the existence of d-cluster tilting objects in locally finite triangulated categories. The stable module categories of representation‑finite self‑injective algebras serve as typical examples of such categories. We prove that all d-cluster tilting objects are connected by mutations. Consequently, for a given representation‑finite self‑injective algebra, the derived categories of all its d-cluster tilting modules are equivalent. This is joint work with Qi Bin and Yifu Han.