An equivariant fixed-level Demailly identity for Fano manifolds

Jin and Rubinstein asked whether the fixed-level equivariant Tian’s alpha invariant equals the fixed-level equivariant global log canonical threshold, and proved this equality for toric varieties. In this paper we provide a positive answer to Jin and Rubinstein’s question in full generality. The main result of this paper was obtained by Chatgpt 5.5 pro, and the Danus system based on the Rethlas system.