2022 Fiscal Year Research-status Report
Exploring de Sitter Holography via Quantum Information
| Project/Area Number |
22K20370
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| Research Institution | Kyoto University |
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Principal Investigator |
Ruan Shanming 京都大学, 基礎物理学研究所, 特定研究員 (90953307)
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| Project Period (FY) |
2022-08-31 – 2024-03-31
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| Keywords | Holographic complexity / Quantum Information / AdS/CFT correspondence / Singularity |
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| Outline of Annual Research Achievements |
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.
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| Current Status of Research Progress |
Current Status of Research Progress
2: Research has progressed on the whole more than it was originally planned.
Reason
Recently, we are writing our first paper about the holography of a half de Sitter space. In this work, we explore the boundary dual of a half de Sitter space by cutting a global de Sitter space by a timelike boundary. In particular, we investigate the holographic entanglement entropy of the boundary interval using de Sitter holography. Our results suggest that the boundary theory dual to de Sitter space is highly non-local. We plan to finish this paper in the following month.
On the other hand, we also study the double holography of boundary defect theory at a finite temperature. We found there are novel and interesting phase transitions in the bulk as well on the brane. This work is also expected to be finished soon.
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| Strategy for Future Research Activity |
For further work, I am planning to work on several aspects for a better understanding of de Sitter holography.
01. We are also studying CFT on de Sitter Space by using the standard AdS/CFT correspondence. In particular, we consider the final state projection of the boundary de Sitter CFT.
02. In another ongoing work, I generalized the AdS/BCFT correspondence to dS/BCFT correspondence. For evaluating the holographic entanglement entropy, we consider complex geodesics associated with the Hartle-Hawking state with a brane
03. In recent work, we show the violation of strong subadditivity of entanglement entropy derived from the timelike boundary of de Sitter space. We are planning to design simple models to understand this feature.
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| Causes of Carryover |
Reason: Since the travel expense for attending the conference in New York and Princeton in 2022 were reimbursed by It from Qubit collaboration, the international travel expense was less than estimated before. Usage Plan: I will use it to get a new Mathematica License. Most theoretical calculations will be done by using Mathematica software. It is necessary to have this software for the proposed research plan.
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