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arXiv · 2111.02429

Does Complexity Equal Anything?

Alexandre Belin·Robert C. Myers·Shan-Ming Ruan·Gábor Sárosi·Antony J. Speranza
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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 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.

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Alexandre Belin, Robert C. Myers, Shan-Ming Ruan, Gábor Sárosi, Antony J. Speranza. 2021-11-03. Does Complexity Equal Anything?. https://doi.org/10.1103/physrevlett.128.081602

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