Journal
PHYSICAL REVIEW LETTERS
Volume 128, Issue 8, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.128.081602
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Funding
- Government of Canada through the Department of Innovation, Science and Economic Development Canada
- Province of Ontario through the Ministry of Colleges and Universities
- NSERC of Canada
- BMO Financial Group
- Simons Foundation through the It from Qubit collaboration
- Air Force Office of Scientific Research [FA9550-19-1-036]
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This paper presents 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. The authors show that these observables display universal features for the thermofield-double state, growing linearly in time at late times and reproducing the switchback effect in shock wave geometries. They argue that any member of this class of observables is an equally viable candidate as the extremal volume for a gravitational dual of complexity.
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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