According to static patch holography, de Sitter space admits a unitary quantum description in terms of a dual theory living on the stretched horizon, that is a timelike surface close to the cosmological horizon. In this manuscript, we compute several holographic complexity conjectures in a periodic extension of the Schwarzschild-de Sitter black hole. We consider multiple configurations of the stretched horizons to which geometric objects are anchored. The holographic complexity proposals admit a hyperfast growth when the gravitational observables only lie in the cosmological patch, except for a class of complexity=anything observables that admit a linear growth. All the complexity conjectures present a linear increase when restricted to the black hole patch, similar to the AdS case. When both the black hole and the cosmological regions are probed, codimension-zero proposals are time-independent, while codimension-one proposals can have non-trivial evolution with linear increase at late times. As a byproduct of our analysis, we find that codimension-one spacelike surfaces are highly constrained in Schwarzschild-de Sitter space. Therefore, different locations of the stretched horizon give rise to different behaviours of the complexity conjectures.

Aguilar-Gutierrez, S., Baiguera, S., Zenoni, N. (2024). Holographic complexity of the extended Schwarzschild-de Sitter space. JOURNAL OF HIGH ENERGY PHYSICS, 2024(5) [10.1007/JHEP05(2024)201].

Holographic complexity of the extended Schwarzschild-de Sitter space

Baiguera S.;
2024

Abstract

According to static patch holography, de Sitter space admits a unitary quantum description in terms of a dual theory living on the stretched horizon, that is a timelike surface close to the cosmological horizon. In this manuscript, we compute several holographic complexity conjectures in a periodic extension of the Schwarzschild-de Sitter black hole. We consider multiple configurations of the stretched horizons to which geometric objects are anchored. The holographic complexity proposals admit a hyperfast growth when the gravitational observables only lie in the cosmological patch, except for a class of complexity=anything observables that admit a linear growth. All the complexity conjectures present a linear increase when restricted to the black hole patch, similar to the AdS case. When both the black hole and the cosmological regions are probed, codimension-zero proposals are time-independent, while codimension-one proposals can have non-trivial evolution with linear increase at late times. As a byproduct of our analysis, we find that codimension-one spacelike surfaces are highly constrained in Schwarzschild-de Sitter space. Therefore, different locations of the stretched horizon give rise to different behaviours of the complexity conjectures.
Articolo in rivista - Articolo scientifico
AdS-CFT Correspondence; de Sitter space; Models of Quantum Gravity;
English
16-mag-2024
2024
2024
5
201
open
Aguilar-Gutierrez, S., Baiguera, S., Zenoni, N. (2024). Holographic complexity of the extended Schwarzschild-de Sitter space. JOURNAL OF HIGH ENERGY PHYSICS, 2024(5) [10.1007/JHEP05(2024)201].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/488360
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