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High Energy Physics - Theory

arXiv:2111.02429 (hep-th)
[Submitted on 3 Nov 2021 (v1), last revised 18 Oct 2022 (this version, v2)]

Title:Does Complexity Equal Anything?

Authors: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.
Comments: 6 pages + appendices, 3 figures; v2 minor edits and title change - version as in PRL
Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc)
Report number: CERN-TH-2021-181, YITP-22-02
Cite as: arXiv:2111.02429 [hep-th]
  (or arXiv:2111.02429v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2111.02429
Related DOI: https://doi.org/10.1103/PhysRevLett.128.081602

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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