Integrable models and topological strings

可积模型和拓扑串

• 批准号: DP180104027
• 负责人: Dr Johanna Knapp
• 金额: $ 31.24万
• 依托单位: The University of Melbourne
• 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: 2018-05-28 至 2021-05-27
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP180104027
• 关键词: Integrable; models; topological; strings

This project aims to develop advanced methods to compute n-point correlation functions in two-dimensional integrable models. The project expects to use recently discovered connections with topological strings to compute currently-inaccessible conformal blocks in conformal field theories, and their analogues in integrable massive field theories and statistical mechanical models. Expected outcomes include explicit expressions for the n-point correlation functions, advances in the theory of topological vertices and the related representation theory, and new solutions of the Yang-Baxter equations. This should provide benefits that include a better understanding of two-dimensional integrable models and their deep connections with topological strings.

本项目旨在开发先进的方法来计算二维可积模型中的n点相关函数。 该项目预计将使用最近发现的与拓扑弦的连接来计算共形场论中目前无法实现的共形块，以及它们在可积大质量场论和统计力学模型中的类似物。预期的成果包括明确的表达的n点相关函数，拓扑顶点理论和相关的表示理论的进展，和新的解决方案的杨巴克斯特方程。这应该提供的好处，包括更好地理解二维可积模型及其与拓扑弦的深层联系。