Nonperturbative formulation of superstring theory based on matrix models

2023 Fiscal Year Final Research Report

• Project/Area Number: 19K03818
• 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: University of Tsukuba
• Principal Investigator: Ishiki Goro 筑波大学, 数理物質系, 准教授 (50710761)
• Project Period (FY): 2019-04-01 – 2024-03-31
• Keywords: 超弦理論 / 行列模型

Outline of Final Research Achievements

Superstring theory is a candidate for a theory that describes the interaction of all elementary particles, including gravity, in a consistent manner. At present, only an incomplete (perturbative) formulation of this theory has been completed, and a more complete (non-perturbative) formulation is needed to be constructed. We studied a theory called the matrix model, which is expected to give a non-perturbative formulation of superstring theory. In particular, we studied the geometrical aspects and investigated how the noncommutative geometry in the matrix model is related to the differential geometry of superstring theory. As a result, it is shown that various geometric structures appearing in superstring theory can be described using matrix degrees of freedom.

Free Research Field

素粒子理論

Academic Significance and Societal Importance of the Research Achievements

宇宙創成時の物理現象まで記述できるような素粒子の究極理論を構成することは、素粒子理論分野の最も大きな目標の一つである。本研究で得られた結果はそのような理論の候補である超弦理論の定式化を完成させるための大きな足掛かりになると考えられる。
宇宙創成時からこれまで世界がどのように誕生し変化してきたのかを明らかにすることが科学の役割の一つであるが、このような問題の最も基本的な部分である「宇宙創成時のメカニズムの解明」に本研究の結果が関連すると期待される。