Exploring de Sitter Holography via Quantum Information

2023 Fiscal Year Final Research Report

• Project/Area Number: 22K20370
• Research Category: Grant-in-Aid for Research Activity Start-up
• Allocation Type: Multi-year Fund
• Review Section: 0203:Particle-, nuclear-, astro-physics, and related fields
• Research Institution: Kyoto University
• Principal Investigator: ruan shanming 京都大学, 基礎物理学研究所, 特定研究員 (90953307)
• Project Period (FY): 2022-08-31 – 2024-03-31
• Keywords: de Sitter space / de Sitter Holography / Holographic Complexity / AdS/CFT Correspondence / Black Hole / Singularity

Outline of Final Research Achievements

This research project explored new perspectives on the intersection of quantum information theory and quantum gravity. Specifically, we proposed a new version of de Sitter (dS) holography by cutting the global dS space with a timelike boundary. By exploring the holographic entanglement entropy in half de Sitter space, we demonstrated that gravity in a (d+1)-dimensional half dS space is dual to a highly non-local field theory residing on its d-dimensional de Sitter boundary. This non-locality is reflected by the violation of the subadditivity of holographic entanglement entropy.
Additionally, based on the "complexity=anything" proposal, we introduced infinite codimension-zero gravitational observables as new candidates for holographic complexity. These observables exhibit universal features such as linear growth over time and the switchback effect. We also applied this proposal to investigate the interior geometry of AdS black holes and probe the black hole singularity.

Free Research Field

Theoretical Physics

Academic Significance and Societal Importance of the Research Achievements

Our research bridges quantum information theory, and quantum computing with quantum gravity, offering fresh insights into the enigmas of black holes and cosmology spacetime. de Sitter holography may provide new perspectives on understanding the universe's origin and evolution.