Complexity and momentum

A bstract Previous work has explored the connections between three concepts — operator size, complexity, and bulk radial momentum of an infalling object in context JT gravity SYK model. In this paper we investigate higher dimensional generalizations these connections. We use a toy model to study growth when perturbing vacuum CFT. From circuit analysis relate rate increase complexity check it by complexity-volume duality. further give empirical formula relating that works from time perturbation just comes cutoff boundary, after scrambling time.