Does Complexity Equal Anything?
Nov 3, 2021
7 pages
Published in:
- Phys.Rev.Lett. 128 (2022) 8, 081602
- Published: Feb 23, 2022
e-Print:
- 2111.02429 [hep-th]
DOI:
- 10.1103/PhysRevLett.128.081602 (publication)
Report number:
- CERN-TH-2021-181,
- YITP-22-02
Citations per year
Abstract: (APS)
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.Note:
- 6 pages + appendices, 3 figures; v2 minor edits and title change - version as in PRL
- gravitation: duality
- space: anti-de Sitter
- horizon: geometry
- black hole
- field theory: conformal
- holography
- diffeomorphism: invariance
References(28)
Figures(4)
Seminars
- [1]
- [2]
- [2]
- [3]
- [4]
- [5]
- [6]
- [7]
- [8]
- [9]
- [10]
- [11]
- [12]
- [13]
- [14]
- [15]
- [16]
- [17]
- [18]
- [19]
- [20]
- [21]
- [22]
- [23]
- [24]