Holography in Quantum Gravity and Quantum Entanglement

2016 Fiscal Year Final Research Report

• 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
• Keywords: 素粒子論

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.

Free Research Field

素粒子論