Complexity = (Anything)^2

Abstract: I will describe an infinite class of gravitational observables that can serve as measures of holographic complexity. These observables are constructed relationally by extremizing a surface with respect to one functional, and evaluating a second functional on that surface. We show that classical Poisson brackets of these observables can be computed via the Peierls construction, and demonstrate that the extremality conditions follow naturally from diffeomorphism invariance. A wide class of these observables can be shown to exhibit universal properties of complexity measures, including linear growth at late times in thermal states and the switchback effect. By taking distinct limits, specific observables can be shown to reduce to the standard holographic complexity measures such as volume or action.

HEP - theorymathematical physicsquantum physics

Audience: researchers in the topic

( video )

Purdue HET

Series comments: The recorded talks will be available on YouTube here: www.youtube.com/playlist?list=PLxU3vHZccQj64m9zsQR74D5WP1z1g4t1J