Holomorphic and quantum aspects of generalized Kahler geometry

广义卡勒几何的全纯和量子方面

• 批准号: 355576-2013
• 负责人: Gualtieri, Marco
• 金额: $ 2.77万
• 依托单位: University of Toronto
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2016
• 资助国家: 加拿大
• 起止时间: 2016-01-01 至 2017-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=595698
• 关键词: Holomorphic; quantum; aspects; generalized; Kahler

Mathematical models which are used to describe the behaviour of physical systems are often based on geometrical structures on complex curved spaces of potentially large dimension. This is true when studying mechanics, the physics of elementary particles, the behaviour of superconductors, and in many other cases. The discovery of increasingly complicated physical systems in quantum field theory has led to the development of new and interesting types of geometric structure, which differ drastically from traditional geometric forms, and so are not well understood.

用于描述物理系统行为的数学模型通常基于潜在大维度的复杂弯曲空间上的几何结构。在研究力学、基本粒子物理学、超导体的行为以及许多其他情况时，这都是正确的。量子场论中越来越复杂的物理系统的发现，导致了新的和有趣的几何结构类型的发展，这些几何结构与传统的几何形式有很大的不同，因此没有得到很好的理解。