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Published on: March 19, 2018
Does Complexity Equal Anything?
Alexandre Belin1, Robert C Myers2, Shan-Ming Ruan2,3,4
1CERN, Theory Division, 1 Esplanade des Particules, Geneva 23, CH-1211, Switzerland.
Abstract:
We present a new infinite class of gravitational observables in asymptotically anti-de Sitter space living on codimension-one slices of the geometry, the most famous of which is the volume of the maximal slice. We show that these observables display universal features for the thermofield-double state: they grow linearly in time at late times and reproduce the switchback effect in shock wave geometries. We argue that any member of this class of observables is an equally viable candidate as the extremal volume for a gravitational dual of complexity.
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