High Energy Physics - Theory
[Submitted on 3 Nov 2021 (v1), last revised 18 Oct 2022 (this version, v2)]
Title:Does Complexity Equal Anything?
View PDFAbstract: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 switch-back 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.
Submission history
From: Alexandre Belin [view email][v1] Wed, 3 Nov 2021 18:00:04 UTC (590 KB)
[v2] Tue, 18 Oct 2022 16:52:55 UTC (527 KB)
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