Duality and algebra of loop operators in supersymmetric field theories: integrable systems and cluster algebras

2017 Fiscal Year Final Research Report

• Project/Area Number: 15K17634
• 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: Yamazaki Masahito 東京大学, カブリ数物連携宇宙研究機構, 准教授 (00726599)
• Project Period (FY): 2015-04-01 – 2018-03-31
• Keywords: 量子場の理論 / 可積分系 / クラスター代数

Outline of Final Research Achievements

(1) constructed new integrable models from 2d quantum field theory (2) comprehensive discussion of topological defects in 3d/3d correspondence, by cluster algebra, AdS/CFT correspondence etc. (3) proposed a novel generalization of the Yang-Baxter equation, based on cluster algebras (4) proposed a new all-order conjecture for the closed 3-manifold version of the volume conjecture (5) formulated quantum discrete Today theory via cluster algebras, and discussed connection with quantum chaos (6) discussed semi-classical limit of the integrable models arising from supersymmetric gauge theories, and showed that we obtain chiral Potts and other discrete classical integrable models

Free Research Field

素粒子理論