De Sitter space, complexity, and the double-scaled SYK model

• DOI: 10.48550/arxiv.2406.19089
• Publication Date: 2024-06-27
• Authors: Sergio E. Aguilar...
• Keywords: High Energy Physics - Theory; High Energy Physics - Theory (hep-th); FOS: Physical sciences; General Relativity and Quantum Cosmology (gr-qc); General Relativity and Quantum Cosmology

The cosmological horizon has an associated entropy suggesting that it might encode a quantum mechanical system on its surface. This motivated extending the principles of anti-de Sitter (AdS) space/ conformal field theory (CFT) correspondence to static patch holography. Some our understanding AdS/CFT holography been catalyzed by exploring geometric duals information observables in CFT side correspondence. In particular, holographic complexity captures evolution black hole interior, which is conjectured be dual measure difficulty preparing circuit side. Motivated these developments, we will propose defined terms for asymptotically dS spacetime and putative system. To sharply define space, they anchored time-like Dirichlet surface where located, called stretched horizon. While needs much more development order reach level likes correspondence, hope work reported this thesis allows crucial steps direction.