Is action complexity better for de Sitter space in Jackiw-Teitelboim gravity?

A bstract Volume complexity in dS 2 remains O (1) up to a critical time, after which it suddenly diverges. On the other hand, for solution JT gravity, there is linear dilaton smoothly grows towards future infinity. From dimensional reduction viewpoint, growth of due expansion orthogonal sphere higher-dimensional d ( ≥ 3). Since higher dimensions becomes very large even before by properly taking into account dilaton, same behavior expected gravity. We show that this expectation met = action (CA) conjecture. For purpose, we obtain an appropriate from 3 . In addition, discuss “refined volume” where choose Weyl field-redefinition such refined volume avoids discontinuous jump time evolution.