Four dimensional Conformal field theories (CFT4) from two dimensional topological field theories (TFT2) and polynomial rings.

来自二维拓扑场论 (TFT2) 和多项式环的四维共形场论 (CFT4)。

• 批准号: 2262859
• 金额: --
• 依托单位: Queen Mary University of London
• 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-2262859
• 关键词: Four; dimensional; Conformal; field; theories

Recent research has established that all the correlators of local operators in free four dimensional scalar field theory can be formulated as amplitudes in a two-dimensional topological field theory. The description of the state space involves the construction of primary fields using polynomial rings. The mathematics of TFT2 and polynomial rings will be used to describe more general conformal field theories, and to compute the structure constants in these CFTs.

最近的研究表明，自由四维标量场论中所有局部算子的相关子都可以表示为二维拓扑场论中的幅值。状态空间的描述涉及到用多项式环构造主域。TFT2和多项式环的数学将用于描述更一般的共形场理论，并计算这些cft的结构常数。