Integrable Structures in Quantum Field Theory

量子场论中的可积结构

• 批准号: 2294361
• 金额: --
• 依托单位: University of Edinburgh
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2019
• 资助国家: 英国
• 起止时间: 2019 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2294361
• 关键词: Integrable; Structures; Quantum; Field; Theory

Integrability arises in many settings in QFT. These include the construction of explicit solutions such as monopoles, Seiberg-Witten theory associated with N=2 SUSY gauge theories, and Hitchin systems. In some settings there is a twistor theoretic construction. Common to such is a spectral curve and its allied geometry, differentials and moduli space. The project will develop spectral curve theory and apply this in the QFT setting.

可积性出现在QFT的许多环境中。这些包括建设明确的解决方案，如磁单极，塞伯格-威滕理论与N = 2超对称规范理论，希钦系统。在某些情况下，存在扭量理论构造。共同的是这样的谱曲线和它的盟军几何，微分和模空间。该项目将发展光谱曲线理论，并将其应用于QFT设置。