Exploring de Sitter Holography via Quantum Information

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During this project, I continued my investigation of holographic complexity and also considered a generalization of AdS/CFT correspondence. I have finished three papers as listed in the following: 01. “Complexity Equals Anything II”: 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”: We illustrate how to use our complexity=anything proposal to systematically probe the geometric properties of black hole singularities. 03. “Gluing AdS/CFT”: We investigate gluing together two AdS geometries along a timelike brane, which corresponds to coupling two brane field theories through gravitational interactions in the dual holographic perspective.