Comprehensive understanding of conformal field theories from various time devlopments

2021 Fiscal Year Final Research Report

• Project/Area Number: 19K03679
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Review Section: Basic Section 13010:Mathematical physics and fundamental theory of condensed matter physics-related
• Research Institution: Institute of Physical and Chemical Research
• Principal Investigator: TADA Tsukasa 国立研究開発法人理化学研究所, 仁科加速器科学研究センター, 副主任研究員 (10322603)
• Project Period (FY): 2019-04-01 – 2022-03-31
• Keywords: 共形場理論 / Sine-square deformation

Outline of Final Research Achievements

Although the time evolution of quantum systems is the most fundamental property of quantum systems, which is directly related to the energy of the system, it is often overlooked because the time evolution is predetermined in many cases. In this project, we classified two-dimensional quantum systems called conformal field theories, which play a major role in string theory and critical phenomena of matter, by taking into account time evolutions other than those usually considered, and further deepened our comprehensive understanding of various aspects of conformal field theories, including their interrelationships. We were able to deepen our comprehensive understanding of various aspects of conformal field theory, including their interrelationships.

Free Research Field

素粒子理論

Academic Significance and Societal Importance of the Research Achievements

量子場の理論は、現代の理論物理学の根幹をなしているが、その中で高い対称性を持つ共形場理論は、最も基本的な量子場の理論と言え、特に重力を含む統一理論の候補である弦理論や物性系における臨界現象の研究において大きな役割を果たしている。そのような共形場理論の量子化について新規かつ深い視点を提供した本課題は、今後弦理論や臨界現象を含む物性系の理解を大きく進めることに寄与するものである。