Holography in Quantum Gravity and Quantum Entanglement
Project/Area Number |
26400240
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Multi-year Fund |
Section | 一般 |
Research Field |
Particle/Nuclear/Cosmic ray/Astro physics
|
Research Institution | The University of Tokyo |
Principal Investigator |
Ooguri Hirosi 東京大学, カブリ数物連携宇宙研究機構, 主任研究員 (20185234)
|
Project Period (FY) |
2014-04-01 – 2017-03-31
|
Project Status |
Completed (Fiscal Year 2016)
|
Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
|
Keywords | 素粒子論 / 量子重力理論 / ホログラフィー原理 / AdS/CFT対応 / エンタングルメント |
Outline of Final Research Achievements |
Ooguri and his collaborators discovered a finite algorithm to classify entanglement inequalities for any number of regions for states dual to geometric states of the Einstein gravity via holography and used the algorithm to prove that the number of independent entropy inequalities is finite for such states. He and his collaborators also showed that the positivity and monotonicity of the relative entropy implies a new class of integrated positive energy conditions in the weak gravity approximation.
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Report
(4 results)
Research Products
(12 results)