Title: Holographic complexity and the thermodynamic volume
Abstract: It has been suggested that the length of a non-traversable wormhole in AdS is dual to the complexity of the field theory state on the boundary. There exist different ways to quantify the length of the wormhole, however. Two such ways have been considered in the literature: the volume of a maximal slice across the wormhole, and the action of the Wheeler-DeWitt patch. In this talk, we present a third way to quantify the wormhole's length based on the spacetime volume of the Wheeler-DeWitt patch. We show that there is a surprising connection with the notion of thermodynamic volume, and that moreover our proposal is consistent with the Lloyd bound.