The four-dimensional spacetime and inflation from 3-algebra model of M-theory

2015 Fiscal Year Final Research Report

• Project/Area Number: 25800122
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Particle/Nuclear/Cosmic ray/Astro physics
• Research Institution: Hirosaki University
• Principal Investigator: SATO Matsuo 弘前大学, 教育学部, 准教授 (70448075)
• Project Period (FY): 2013-04-01 – 2016-03-31
• Keywords: M理論 / 行列模型 / 3代数 / 超弦理論

Outline of Final Research Achievements

In order to identify the spacetime in the 3-algebra model of M-theory, it is useful to find common structures suitable for the spacetime, by comparing to the other 3-algebra models. Then, we examined whether we can construct the other supersymmetric 3-algebra models, and we succeeded to extend IIB matrix model and BFSS matrix model to supersymmetric 3-algebra models.
We also examined mathematical structures of the spacetime in the 3-algebra model of M-theory. Especially, we classified independent basis of the volume preserving diffeomorphism in the Nambu 3-algebra and we showed that the diffeomorphism includes three area preserving diffeomorphisms.

Free Research Field

素粒子・原子核・宇宙線・宇宙物理