Wall-crossing and quantum invariants of Calabi-Yau threefolds

卡拉比-丘的穿墙和量子不变量有三重

• 批准号: 250164-2012
• 负责人: Bryan, Jim
• 金额: $ 3.28万
• 依托单位: University of British Columbia
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2012
• 资助国家: 加拿大
• 起止时间: 2012-01-01 至 2013-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=514523
• 关键词: Wall; crossing; quantum; invariants; Calabi

Background: Calabi-Yau threefolds are central objects of research in both the mathematics of algebraic geometry and the physics of string theory. In the last few decades, subtle invariants of Calabi-Yau threefolds have arisen, often having parallel descriptions in math and physics. In math, the invariants are born from the geometry of various moduli spaces associated to the Calabi-Yau threefold; in physics, the arise out of various quantum field theories associated to the Calabi-Yau threefold.

背景：Calabi-Yau三重数是代数几何数学和弦理论物理学的中心研究对象。在过去的几十年里，出现了Calabi-Yau三重不变量，在数学和物理中经常有类似的描述。在数学上，不变量产生于与Calabi-Yau三重相关的各种模空间的几何；在物理学中，产生于与Calabi-Yau三重相关的各种量子场论。