Logarithmic conformal field theory and the 4D/2D correspondence

共形场论为解决理论物理中的问题提供了强有力的方法，并在看似不同的纯数学分支之间提供了美丽的联系。这一建议旨在极大地扩展我们对对数共形场理论的知识，对数共形场理论最近见证了物理学兴趣的复苏。推进这些理论对高能物理和纯数学的发展至关重要。预期的结果包括对这些理论的数学结构的全新理解，这将反过来促进四维规范理论的应用。这将提高研究能力，进一步巩固澳大利亚在数学物理研究领域的国际领先地位。

Conformal field theory provides powerful methods for attacking problems in theoretical physics and furnishes beautiful connections between seemingly disparate branches of pure mathematics. This proposal aims to greatly expand our knowledge of the logarithmic conformal field theories that have recently witnessed a resurgence of interest in physics. Advancing these theories is crucial to progress in high-energy physics and pure mathematics. Expected outcomes include a completely new understanding of the mathematical structure of these theories which will, in turn, facilitate applications in 4D gauge theory. This will boost research capacity and further cement Australia's reputation as an international leader in mathematical physics research.