Non-local operators in supersymmetric gauge theories and the path integral

2014 Fiscal Year Final Research Report

• Project/Area Number: 23740168
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Particle/Nuclear/Cosmic ray/Astro physics
• Research Institution: The University of Tokyo
• Principal Investigator: OKUDA Takuya 東京大学, 総合文化研究科, 助教 (90595646)
• Project Period (FY): 2011-04-28 – 2015-03-31
• Keywords: 素粒子（理論） / 数理物理

Outline of Final Research Achievements

This research is about gauge theory, which describes the physics of elementary particles such as the electron, quarks, and the photon. In particular we studied systems with so-called supersymmetry. Supersymmetry is a symmetry that we hope will be discovered in the coming years, and is a fundamental concept when studying structures of gauge theories. In these theories, non-local operators play important roles. Prominent examples are loop operators, which are defined as a motion of a hypothetical particle with infinite mass. In this research we computed quantities related to non-local operators by applying the method known as supersymmetric localization. This helped us reveal the structures of the supersymmetric gauge theories.

Free Research Field

素粒子論