Structure in the moduli space of vacua of low dimensional supersymmetric quantum

低维超对称量子真空模空间中的结构

• 批准号: 1946846
• 金额: --
• 依托单位: University of Liverpool
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2017
• 资助国家: 英国
• 起止时间: 2017 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-1946846
• 关键词: Structure; moduli; space; vacua; low

This Project involves the investigation of the moduli space of vacua of supersymmetricquantum eld theories. The sets of zero-energy congurations, or moduli space of vacua, of a quantumeld theory contains rich algebro-geometric structure. For a large set of supersymmetric quantumeld theories this structure is related to nilpotent varieties in Lie algebras. These nilpotent varietiesare well understood for the classical Lie algebras in the mathematical literature and investigation ofthe interpretation of this and related structures in a physical context is the main aim of this project.The supersymmetric quantum eld theories also have an interpretation as the low energy dynamics ofsuperstring theory embeddings. The interplay between these embeddings, the quantum eld theories,the geometry of the moduli spaces of vacua, and potential generalizations of all therein, is the centralarea of concern.

本计画主要研究超量子场理论真空的模空间。量子场理论的零能近似集或真空模空间包含丰富的代数几何结构。对于一个大的超对称量子场理论，这种结构与李代数中的幂零簇有关。这些幂零变量在经典李代数的数学文献中得到了很好的理解，并且在物理环境中对这种结构和相关结构的解释的研究是这个项目的主要目标。超对称量子场理论也有一个作为超弦理论嵌入的低能动力学的解释。这些嵌入之间的相互作用，量子场理论，真空模空间的几何，以及所有这些的潜在推广，是关注的中心领域。

项目成果

D n Dynkin quiver moduli spaces

• DOI: 10.1088/1751-8121/ab4344
• 发表时间: 2019-02
• 期刊: Journal of Physics A: Mathematical and Theoretical
• 作者: Jamie Rogers;R. Tǎtar