Complexity equals anything II

A bstract We expand on our results in [1] to present a broad new class of gravitational observables asymptotically Anti-de Sitter space living general codimension-zero regions the bulk spacetime. By taking distinct limits, these can reduce well-studied holographic complexity proposals, e.g., volume maximal slice and action or spacetime Wheeler-DeWitt patch. As with codimension-one family found [1], display two key universal features for thermofield double state: they grow linearly time at late times reproduce switchback effect. Hence we argue that any member this is an equally viable candidate as dual complexity. Moreover, using Peierls construction, show variations are encoded symplectic form semi-classical phase-space, which then be mapped CFT.