Research in dualities using exact results in gauge theories

2014 Fiscal Year Final Research Report

• Project/Area Number: 24540260
• 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: Tokyo Institute of Technology
• Principal Investigator: IMAMURA Yosuke 東京工業大学, 理工学研究科, 准教授 (80323492)
• Project Period (FY): 2012-04-01 – 2015-03-31
• Keywords: ゲージ理論 / 双対性 / 超対称性 / 局所化法

Outline of Final Research Achievements

In particle physics it is important to understand how the interactions among particles affect the behavior of the system. When the interactions are strong no general prescription to handle them are known, and we should use different methods depending on the problems. For theories with supersymmetry (symmetry between bosons and fermions) we can calculate some observables exactly by using ``localization method.'' In this research I found some new formulae of the partition functions of three- and five-dimensional gauge theories in some backgrounds, and succeeded in confirming some dualities (Equivalence of two theories that look different from each other).

Free Research Field

素粒子論