Derivation of duality and integrability from M-theory

2017 Fiscal Year Final Research Report

• Project/Area Number: 25400246
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Particle/Nuclear/Cosmic ray/Astro physics
• Research Institution: The University of Tokyo
• Principal Investigator: Matsuo Yutaka 東京大学, 大学院理学系研究科(理学部), 准教授 (50202320)
• Project Period (FY): 2013-04-01 – 2018-03-31
• Keywords: ストリング理論 / ゲージ理論 / 双対性 / 可解模型 / 量子変形 / Gerbe / 表現論

Outline of Final Research Achievements

Sometimes, one physical system has some apparently different descriptions. Such property is referred to as duality. While it is beneficial to extend the methods to study the system, it is hard to derive it rigorously. In this study, I explore the duality in the gauge theory which is essential to describe the elemental particle physics. I found that a q-deformed infinite dimensional symmetry plays a unique role to explain it and explored its properties. Also, I developed a geometrical method to define the duality in M-theory.

Free Research Field

素粒子論