| 研究実績の概要 |
During this project period, I continued my investigation about holographic complexity and also proposed a new version of de Sitter holography. I have finished six papers as listed in the following:
01. “Complexity Equals Anything II”, DOI: 10.1007/JHEP01(2023)154. We show that there are infinite classes of gravitational observables in asymptotically AdS which can be candidates as a gravitational dual of complexity.
02. “Complexity=Anything: Singularity Probes”, DOI: 10.1007/JHEP07(2023)223. We illustrate how to use our complexity=anything proposal to systematically probe the geometric properties of black hole singularities. 03. “Gluing AdS/CFT”, DOI: 10.1007/JHEP07(2023)080. We investigate gluing together two AdS geometries along a timelike brane, which corresponds to coupling two brane tied theories through gravitational interactions in the dual holographic perspective.
04. “A half de Sitter holography”, DOI: 10.1007/JHEP10(2023)137. In this work, we consider a half dS spacetime wherein a timelike boundary encloses the bulk spacetime, presenting a new version of de Sitter holography.
05. “Double Holography of Entangled Universes”. We employ double holography to examine a system of two entangled gravitating universes that live on two codimension-one branes in an asymptotically AdS3 spacetime with two disjoint conformal boundaries.
06. “Complexity Equals (Almost) Anything”. This paper summarizes the complexity=anything proposal by exploring several simple examples. It contributes to the proceedings volume of Gravity, Strings and Fields.
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