We expand on our results in [1] to present a broad new class of gravitational observables in asymptotically Anti-de Sitter space living on general codimension-zero regions of the bulk spacetime. By taking distinct limits, these observables can reduce to well-studied holographic complexity proposals, e.g., the volume of the maximal slice and the action or spacetime volume of the Wheeler-DeWitt patch. As with the codimension-one family found in [1], these new observables display two key universal features for the thermofield double state: they grow linearly in time at late times and reproduce the switchback effect. Hence we argue that any member of this new class of observables is an equally viable candidate as a gravitational dual of complexity. Moreover, using the Peierls construction, we show that variations of the codimension-zero and codimension-one observables are encoded in the gravitational symplectic form on the semi-classical phase-space, which can then be mapped to the CFT.

Belin, A., Myers, R., Ruan, S., Sarosi, G., Speranza, A. (2023). Complexity equals anything II. JOURNAL OF HIGH ENERGY PHYSICS, 2023(1) [10.1007/JHEP01(2023)154].

Complexity equals anything II

Belin A.;
2023

Abstract

We expand on our results in [1] to present a broad new class of gravitational observables in asymptotically Anti-de Sitter space living on general codimension-zero regions of the bulk spacetime. By taking distinct limits, these observables can reduce to well-studied holographic complexity proposals, e.g., the volume of the maximal slice and the action or spacetime volume of the Wheeler-DeWitt patch. As with the codimension-one family found in [1], these new observables display two key universal features for the thermofield double state: they grow linearly in time at late times and reproduce the switchback effect. Hence we argue that any member of this new class of observables is an equally viable candidate as a gravitational dual of complexity. Moreover, using the Peierls construction, we show that variations of the codimension-zero and codimension-one observables are encoded in the gravitational symplectic form on the semi-classical phase-space, which can then be mapped to the CFT.
Articolo in rivista - Articolo scientifico
AdS-CFT Correspondence; Black Holes; Gauge-Gravity Correspondence;
English
26-gen-2023
2023
2023
1
154
open
Belin, A., Myers, R., Ruan, S., Sarosi, G., Speranza, A. (2023). Complexity equals anything II. JOURNAL OF HIGH ENERGY PHYSICS, 2023(1) [10.1007/JHEP01(2023)154].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/415079
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