| Project/Area Number |
20K14462
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| Research Category |
Grant-in-Aid for Early-Career Scientists
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| Allocation Type | Multi-year Fund |
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| Review Section |
Basic Section 15010:Theoretical studies related to particle-, nuclear-, cosmic ray and astro-physics
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| Research Institution | The University of Tokyo |
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Principal Investigator |
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| Project Period (FY) |
2020-04-01 – 2022-03-31
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| Project Status |
Completed (Fiscal Year 2021)
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| Budget Amount *help |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2021: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2020: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Keywords | AdS/CFT Correspondence / Black holes / Supergravity models / Supersymmetry / Black Holes / AdS-CFT Correspondence / Conformal Field Theory / Anomalies / Supergravity Models / String Theory |
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| Outline of Research at the Start |
Understanding the structure of gravity at small distances has been always a challenge for physicists. In this paradigm black holes play a preeminent role. In the research proposed here, I will provide an accurate and deep understanding of the quantum nature of black holes by developing new techniques and constructing new examples. Particularly, I will give a microscopic explanation for the black holes’ entropy in AdS spacetimes (where we have a non-perturbative definition of quantum gravity), thus, implicitly answer the puzzles such as information paradox via a unitary quantum field theory.
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| Outline of Final Research Achievements |
My research project aims at identifying the quantum microstates of different classes of black holes in string theory and giving a precise derivation of their quantum entropy -- the Bekenstein-Hawking entropy is just the leading approximation to the quantum black hole entropy for large black holes and receives infinite series of finite-size corrections. I developed new mathematical tools and methods in understanding the quantum nature of black holes. These include computing the exact partition functions and correlation functions of quantum field theories in various dimensions.
Moreover, the AdS/CFT correspondence provides a non-perturbative definition of quantum gravity in AdS spacetimes. I gave various evidence for this idea, via constructing new examples, and used it to understand both quantum field theories and quantum gravity.
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| Academic Significance and Societal Importance of the Research Achievements |
この研究は、アンチドジッター時空におけるブラックホールの量子力学的振舞、とくにその微視的起源を解明することが目的であり、これは素粒子理論、一般相対論、数学の三分野の交わる先端かつ境界の領域である。研究代表者の発表した論文はすでに合計三百回以上引用されており、ブラックホールの量子物理の研究の新機軸を開いてきた。これを元に、今後はブラックホールに関するさらに深い問題を研究することができるようになる。
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