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: ¥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.

Research Products

• [Int'l Joint Research] California Institute of Technology/Stanford University(米国)
• [Journal Article] Shortening Anomalies in Supersymmetric Theories (2017)
  • Author(s): J. Gomis, Z. Komargodski, H. Ooguri, N. Seiberg
  • Journal Title: JHEP Volume: 1701 Issue: 1 Pages: 067-067
  • DOI: 10.1007/jhep01(2017)067
  • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Gravitational Positive Energy Theorems from Information Inequalities (2016)
  • Author(s): N. Lashkari, J. Lin, H. Ooguri, B. Stoica, M. van Raamsdonk
  • Journal Title: PTEP Volume: 12 Issue: 12 Pages: 12C109-12C109
  • DOI: 10.1093/ptep/ptw139
  • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Bulk Locality and Boundary Creating Operators (2015)
  • Author(s): Y. Nakayama、H. Ooguri
  • Journal Title: JHEP Volume: 1510 Issue: 10 Pages: 114-114
  • DOI: 10.1007/jhep10(2015)114
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] The Holographic Entropy Cone (2015)
  • Author(s): N. Bao, S. Nezami, H. Ooguri, B. Stoica, J. Sully, M. Walter
  • Journal Title: JHEP Volume: 1509 Issue: 9 Pages: 130-130
  • DOI: 10.1007/jhep09(2015)130
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Locality of Gravitational Systems from Entanglement of Conformal Field Theories (2015)
  • Author(s): J. Lin, M. Marcolli, H. Ooguri, B. Stoica
  • Journal Title: Physical Review Letters Volume: 114 Issue: 22 Pages: 221601-221601
  • DOI: 10.1103/physrevlett.114.221601
  • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Hall Viscosity and Angular Momentum in Gapless Holographic Models (2014)
  • Author(s): Hong Liu, Hirosi Ooguri, Bogdan Stoica
  • Journal Title: Physical Review D Volume: 90 Issue: 8 Pages: 086007-086007
  • DOI: 10.1103/physrevd.90.086007
  • Peer Reviewed / Acknowledgement Compliant
• [Presentation] Weak Gravity Conjecture (2016)
  • Author(s): Hirosi Ooguri
  • Organizer: Quantum Entanglement
  • Place of Presentation: Simons Center, Stony Brook
  • Year and Date: 2016-12-05
  • Int'l Joint Research / Invited
• [Presentation] Comments on K3 Moduli Space (2016)
  • Author(s): H. Ooguri
  • Organizer: F-Theory at 20, California, USA
  • Place of Presentation: 米国、カリフォルニア工科大学
  • Year and Date: 2016-02-22
  • Int'l Joint Research / Invited
• [Presentation] Delinearing the Swampland (2015)
  • Author(s): H. Ooguri
  • Organizer: String-Math 2015, Sanya, China
  • Place of Presentation: 中国、三亜市
  • Year and Date: 2015-12-31
  • Int'l Joint Research / Invited
• [Presentation] Entanglement and Bootstrap (2015)
  • Author(s): Hirosi Ooguri
  • Organizer: Eurostrings 2015
  • Place of Presentation: Cambridge University
  • Year and Date: 2015-03-23 – 2015-03-27
  • Invited
• [Presentation] Tomography from Entanglement (2015)
  • Author(s): Hirosi Ooguri
  • Organizer: Simons Symposium on Quantum Entaglement
  • Place of Presentation: 米国プエルトリコ
  • Year and Date: 2015-03-16 – 2015-03-20
  • Invited