Refinement of Swampland Conditions

2022 Fiscal Year Final Research Report

• Project/Area Number: 20K03965
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Review Section: Basic Section 15010:Theoretical studies related to particle-, nuclear-, cosmic ray and astro-physics
• Research Institution: The University of Tokyo
• Principal Investigator: Ooguri Hirosi 東京大学, カブリ数物連携宇宙研究機構, 特任教授 (20185234)
• Project Period (FY): 2020-04-01 – 2023-03-31
• Keywords: 超弦理論 / 量子重力理論

Outline of Final Research Achievements

We clarified several general properties of low-energy effective theories of quantum gravity. In particular, for any consistent quantum gravity in anti-de Sitter space, with gauge symmetry, we showed how quantum states are decomposed by into irreducible representation of the symmetry when the radius of the event horizon is larger than the curvature radius of the spacetime. For example, when the gauge symmetry is a finite group and if a quantum state is chosen at random, the probability that it belongs to the irreducible representation R is proportional to the square of the dimension of R. We also extended this result to the case of compact Lie groups and clarified the thermodynamic properties of black holes with non-Abelian hairs.

Free Research Field

素粒子論

Academic Significance and Societal Importance of the Research Achievements

一般相対性理論と量子力学の統合を目指す超弦理論の完成は、自然界の最も基本的な法則を解明しようとする人類の大きな知的作業の到達目標の一つである。大栗の研究は、数学的に矛盾のない量子重力理論の満たすべき定理を明らかにしたものであり、超弦理論の完成に向けた大きな一歩である。