Study of gauge theory at strong coupling from gauge-gravity duality and integrability

• Project/Area Number: 17K05406
• 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: University of Fukui (2018-2022); University of Tsukuba (2017)
• Principal Investigator: Satoh Yuji 福井大学, 学術研究院工学系部門, 准教授 (50312799)
• Project Period (FY): 2017-04-01 – 2023-03-31
• Project Status: Completed (Fiscal Year 2022)
• Budget Amount: ¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000); Fiscal Year 2021: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000); Fiscal Year 2020: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000); Fiscal Year 2019: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000); Fiscal Year 2018: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000); Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
• Keywords: 弦理論 / ゲージ理論-重力理論双対性 / 可積分性 / 強結合ゲージ理論 / 散乱振幅 / 熱力学的ベーテ仮説 / 素粒子論 / 数理物理

Outline of Final Research Achievements

The gauge-gravity duality discovered in string theory states that certain theory of gravity and gauge theory are just different facets of the same theory. This duality enables us to analyze gauge theory at strong coupling by using classical gravity. We had developed analytical methods to evaluate strong-coupling scattering amplitudes of certain supersymmetric gauge theory based on this duality and the integrability behind it. In this research, we further developed and completed a method to analytically expand the strong-coupling amplitudes in terms of the large chemical potential of the integrable model which gave the amplitudes through the gauge-gravity duality. I also published a review in this field on the study of the gauge-gravity duality based on integrability.

Academic Significance and Societal Importance of the Research Achievements

強結合におけるゲージ理論の解析はハドロンの物理など自然界の理解に大変重要であるが，摂動的な取り扱いができないため困難であり，通常は大規模な数値計算により行なわれる．我々の成果は，強結合散乱振幅を解析的に評価するこれまでの我々の研究をさらに発展させた，新たなより広い運動学的領域に適用可能な結果であると共に，強結合ゲージ理論のダイナミクスの理解へ向け新たな方向性を与えるものである．また，4次元ゲージ理論，10次元超弦理論，2次元可積分模型の間の非常に興味深い関係も示している．

Research Products

• [Journal Article] Notes on Vanishing Cosmological Constant without Bose-Fermi Cancellation (2022)
  • Author(s): Y. Satoh, Y. Sugawara
  • Journal Title: Progress of Theoretical and Experimental Physics Volume: - Issue: 5
  • DOI: 10.1093/ptep/ptac061
  • Peer Reviewed / Open Access
• [Journal Article] Interactions of strings on a T-fold (2022)
  • Author(s): Satoh Yuji、Sugawara Yuji
  • Journal Title: Journal of High Energy Physics Volume: 2022 Issue: 6 Pages: 121-121
  • DOI: 10.1007/jhep06(2022)121
  • Peer Reviewed / Open Access
• [Journal Article] MHV amplitudes at strong coupling and linearized TBA equations (2018)
  • Author(s): Katsushi Ito, Yuji Satoh and Junji Suzuki
  • Journal Title: Journal of High Energy Physics Volume: 1808 Issue: 8 Pages: 002-002
  • DOI: 10.1007/jhep08(2018)002
  • Peer Reviewed / Open Access
• [Journal Article] Non-supersymmetric D-branes with vanishing cylinder amplitudes in asymmetric orbifolds (2017)
  • Author(s): Yuji Satoh, Yuji Sugawara and Takahiro Uetoko
  • Journal Title: Journal of High Energy Physics Volume: 1708 Issue: 8 Pages: 082-082
  • DOI: 10.1007/jhep08(2017)082
  • Peer Reviewed / Open Access
• [Presentation] Interactions of strings on a T-fold (2022)
  • Author(s): 佐藤勇二，菅原祐二
  • Organizer: 日本物理学会2022年秋季大会
• [Presentation] 弦理論における非幾何学的時空と宇宙項 (2019)
  • Author(s): 佐藤 勇二
  • Organizer: 北陸信越地区 素粒子論グループ合宿研究会
• [Presentation] 素粒子物理学 (2019)
  • Author(s): 佐藤 勇二
  • Organizer: 福井理科教育研究会
  • Invited
• [Presentation] Conformal interfaces/defects and their applications (2019)
  • Author(s): Yuji Satoh
  • Organizer: CEICO (Central European Institute for Cosmology and Fundamental Physics) seminar
  • Invited
• [Presentation] World-sheet approaches to non-geometric backgrounds in string theory (2019)
  • Author(s): Yuji Satoh
  • Organizer: String: T-duality, Integrability and Geometry
  • Int'l Joint Research / Invited
• [Presentation] A world-sheet approach to T-folds (2017)
  • Author(s): Yuji Satoh
  • Organizer: New developments in AdS3/CFT2 holography
  • Int'l Joint Research / Invited
• [Presentation] 開弦の場の理論の古典解と conformal interface の関係 (2017)
  • Author(s): 小路田俊子, 佐藤勇二
  • Organizer: 日本物理学会第 73 回年次大会
• [Book] 弦理論と可積分性 -ゲージ-重力対応のより深い理解に向けて- (2021)
  • Author(s): 佐藤 勇二
  • Total Pages: 232
  • Publisher: サイエンス社
  • ISBN: 9784781915029