Black Holes, Quantum Physics and Holography

2021 Fiscal Year Final Research Report

• Project/Area Number: 20K14462
• Research Category: Grant-in-Aid for Early-Career Scientists
• Allocation Type: Multi-year Fund
• Review Section: Basic Section 15010:Theoretical studies related to particle-, nuclear-, cosmic ray and astro-physics
• Research Institution: The University of Tokyo
• Principal Investigator: Hosseini Seyed Morteza 東京大学, カブリ数物連携宇宙研究機構, 特任研究員 (90822106)
• Project Period (FY): 2020-04-01 – 2022-03-31
• Keywords: AdS/CFT Correspondence / Black holes / Supergravity models / Supersymmetry

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.

Free Research Field

String theory

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。