Deciphering gravity through quantization of superstring field theory

• Project/Area Number: 17K05408
• 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: OKAWA Yuji 東京大学, 大学院総合文化研究科, 教授 (10466823)
• Project Period (FY): 2017-04-01 – 2023-03-31
• Project Status: Completed (Fiscal Year 2022)
• Budget Amount: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000); Fiscal Year 2021: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000); Fiscal Year 2020: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000); Fiscal Year 2019: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000); Fiscal Year 2018: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000); Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
• Keywords: 弦の場の理論 / 超弦理論 / ホモトピー代数 / 素粒子論

Outline of Final Research Achievements

Towards nonperturbative formulations of quantum theory including general relativity via quantization of open superstring field theory, we clarified that the structure of closed string perturbation theory which contains general relativity can be reproduced by the 1/N expansion of correlation functions of gauge-invariant operators in open bosonic string field theory. We also found a formula for correlation functions in quantum field theory using homotopy algebras, which can be powerful tools in quantizing open string field theory.

Academic Significance and Societal Importance of the Research Achievements

重力は一般相対性理論で記述され、ミクロな世界は量子力学で記述されるが、一般相対性理論と量子力学をひとつの理論的な枠組みの中で融合することには成功していない。本研究ではこの問題に対して開いた超弦の場の理論と呼ばれる理論を量子化することで解決の糸口を掴もうとするものであり、もう少し簡単な開いたボソニックな弦の場の理論では重要な進展があり、より難しい開いた超弦の場の理論を攻略するための武器の整備も順調に進めている。

Research Products

• [Int'l Joint Research] プリンストン高等研究所(米国)
• [Journal Article] Open superstring field theory based on the supermoduli space (2018)
  • Author(s): Kantaro Ohmori and Yuji Okawa
  • Journal Title: Journal of High Energy Physics Volume: 04 Issue: 4 Pages: 035-035
  • DOI: 10.1007/jhep04(2018)035
  • NAID: 130007736132
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Presentation] Renormalization of one-loop scattering amplitudes in scalar field theories via homotopy algebras (2023)
  • Author(s): 大川 祐司、渋谷 翔之
  • Organizer: 日本物理学会 2023年春季大会
• [Presentation] Correlation functions of scalar field theories from homotopy algebras (2023)
  • Author(s): 大川 祐司
  • Organizer: 日本物理学会 2023年春季大会
• [Presentation] Correlation functions involving Dirac fields from homotopy algebras (2023)
  • Author(s): 大川 祐司、鴻巣 圭佑
  • Organizer: 日本物理学会 2023年春季大会
• [Presentation] Correlation functions of scalar field theories from homotopy algebras (2022)
  • Author(s): Yuji Okawa
  • Organizer: String Field Theory 2022
  • Int'l Joint Research / Invited
• [Presentation] Correlation functions of scalar field theories from homotopy algebras (2022)
  • Author(s): Yuji Okawa
  • Organizer: HirosiFest @ Kavli IPMU
  • Int'l Joint Research / Invited
• [Presentation] Achievements, Progress and Open Questions in String Field Theory (2021)
  • Author(s): Yuji Okawa and Barton Zwiebach
  • Organizer: Strings 2021
  • Int'l Joint Research / Invited
• [Presentation] Panel discussion on “String field theory beyond string theory” (2021)
  • Author(s): Yuji Okawa
  • Organizer: SFT@Cloud 2021
  • Int'l Joint Research / Invited
• [Presentation] Gauge-invariant operators of open bosonic string field theory in the low-energy limit (2021)
  • Author(s): Yuji Okawa
  • Organizer: Homotopy Algebra of Quantum Field Theory and Its Application
  • Int'l Joint Research / Invited
• [Presentation] Gauge-invariant operators of open bosonic string field theory in the low-energy limit (2020)
  • Author(s): Yuji Okawa
  • Organizer: 2020 Workshop on String Field Theory and Related Aspects
  • Int'l Joint Research / Invited
• [Presentation] Gauge-invariant operators of open bosonic string field theory in the low-energy limit (2020)
  • Author(s): 光山 大貴、大川 祐司、鈴木 ななみ
  • Organizer: 日本物理学会第75回年次大会
• [Presentation] Weak A ∞ structure in the low-energy limit of open bosonic string field theory with gauge-invariant operators (2020)
  • Author(s): 光山 大貴、大川 祐司、鈴木 ななみ
  • Organizer: 日本物理学会第75回年次大会
• [Presentation] Nonperturbative definition of closed string theory via open string field theory (2019)
  • Author(s): Yuji Okawa
  • Organizer: International Conference on String Field Theory and String Perturbation Theory
  • Int'l Joint Research / Invited
• [Presentation] Open superstring field theory based on the supermoduli space (2018)
  • Author(s): 大川 祐司
  • Organizer: 信州大学松本キャンパスでの日本物理学会2018年秋季大会
• [Presentation] Open superstring field theory based on the supermoduli space (2018)
  • Author(s): Yuji Okawa
  • Organizer: 台湾の国立交通大学での The 4th NCTU-Yau mini-workshop on string theory
  • Int'l Joint Research / Invited
• [Presentation] Closed string field theory without the level-matching condition (2018)
  • Author(s): Yuji Okawa
  • Organizer: Discussion Meeting on String Field Theory and String Phenomenology
  • Int'l Joint Research / Invited
• [Presentation] Complete formulations of superstring field theory (2017)
  • Author(s): Yuji Okawa
  • Organizer: Quantum Gravity, String Theory and Holography
  • Int'l Joint Research / Invited