Quantum vertex algebras

量子顶点代数

• 批准号: DP180101825
• 负责人: Prof Alexander Molev
• 金额: $ 28.81万
• 依托单位: The University of Sydney
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2018
• 资助国家: 澳大利亚
• 起止时间: 2018-01-01 至 2023-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP180101825
• 关键词: Quantum; vertex; algebras

The project aims to address major mathematical problems on the structure and representations of the families of quantum groups and vertex algebras associated with Lie algebras. Originating from solvable lattice models in statistical mechanics, the theory of quantum groups has important connections with, and applications to, a wide range of subjects in mathematics and physics. The project will extend and develop explicit theory of both the classical and quantum versions of the vertex algebras which are of importance to conformal field theory and soliton spin-chain models.

该项目旨在解决与李代数相关的量子群和顶点代数的结构和表示的主要数学问题。量子群理论起源于统计力学中的可解格模型，与数学和物理学中的广泛学科有着重要的联系和应用。该项目将扩展和发展显式理论的经典和量子版本的顶点代数是重要的共形场理论和孤子自旋链模型。