Chaos and Integrable Structure of Space-Time in String Theory
| Project/Area Number |
15K05051
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Particle/Nuclear/Cosmic ray/Astro physics
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| Research Institution | Kyoto University |
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Principal Investigator |
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| Co-Investigator(Renkei-kenkyūsha) |
Matsumoto Takuya 名古屋大学, 多元数理研究所, 助教
Hashimoto Koji 大阪大学, 理学研究科, 教授
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| Research Collaborator |
Kameyama Takashi
Kawai Daisuke
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| Project Period (FY) |
2015-04-01 – 2019-03-31
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| Project Status |
Completed (Fiscal Year 2018)
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| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2018: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | 超弦理論 / 可積分性 / カオス / 乱流 / 超重力理論 / AdS/CFT対応 |
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| Outline of Final Research Achievements |
In string theory, strings can move on various spacetime. Therefore, it is possible to consider the classical motion of various strings, and the motion may be integrable in some space-time, or it may be non-integrable and exhibit chaotic or turbulent behavior. In this research subject, we focused on the classical motion of strings, studied the structure of space-time from the viewpoint of integrability and non-integrability, and established a systematic method called Yang-Baxter deformation.
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| Academic Significance and Societal Importance of the Research Achievements |
弦の古典的な運動が可積分になる背景時空には反ドジッター(AdS)時空が含まれている。弦理論では、このAdS時空上の弦理論と共形場理論(CFT)の間の双対性が知られており、その研究において可積分性は重要な役割を果たす。本研究課題の成果であるYang-Baxter変形の手法により、この可積分性を保持したままAdS時空を変形することが可能になったため、可積分性に立脚した計算技術を用いて解析できる双対性の具体例を無数に構築できた。また、非可積分な時空においても、弦のカオス的な運動から示唆される、双対性なゲージ理論における物理についても理解を深めることができた。
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Report
(4 results)
Research Products
(61 results)
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[Journal Article] T -folds from Yang-Baxter deformations2017
Author(s)
Jose J. Fernandez-Melgarejo, Jun-ichi Sakamoto, Yuho Sakatani, Kentaroh Yoshida
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Journal Title
Journal of High Energy Physics
Volume: 1712
Issue: 12
Pages: 108-108
DOI
Related Report
Peer Reviewed / Open Access / Int'l Joint Research
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[Journal Article] Melnikov’s method in String Theory2016
Author(s)
Yuhma Asano, Hideki Kyono and Kentaroh Yoshida
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Journal Title
Journal of High Energy Physics (JHEP)
Volume: 9
Issue: 9
DOI
Related Report
Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
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