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Workshop "Twistor Theory and Beyond", 29 June - 1 July 2020, Cambridge

“扭转理论及其他”研讨会，2020 年 6 月 29 日至 7 月 1 日，剑桥

基本信息

批准号：
EP/T031026/1
负责人：
Ricardo Jorge Ferreira Monteiro
金额：
$ 0.68万
依托单位：
Queen Mary University of London
依托单位国家：
英国
项目类别：
Research Grant
财政年份：
2021
资助国家：
英国
起止时间：
2021 至无数据
项目状态：
已结题

来源：
https://gtr.ukri.org/projects?ref=EP%2FT031026%2F1
关键词：
Workshop Twistor Theory Beyond 29

项目摘要

Twistor theory was born out of Sir Roger Penrose's intuition that space-time is not the fundamental arena of physics. Instead, the fundamental arena is twistor space, and the space-time formulation of physics is emergent. The mathematical structure of twistor space, where light-rays rather than space-time points take the leading role, provides an ideal home for some of the most fundamental theories of physics, such as general relativity and gauge theory. The original idea was that important problems in theoretical physics, especially the problem of quantum gravity, would be clarified by a formulation of the laws of physics in twistor space.As with many great ideas, twistor theory developed in a variety of directions in mathematics and physics, which were not anticipated by its original developers. On the mathematical side, its powerful methods have been applied to differential and integral geometry, to the analysis of differential equations and to representation theory. On the physics side, its application to general relativity and quantum field theory has been given a renewed impetus with the notion of string theories living in twistor space, as well as with the recent realisation that twistor variables simplify the description of certain experiments in particle scattering.This vast range of applications provides a perfect ground for interdisciplinary collaboration among diverse research communities.

扭曲理论诞生于罗杰·彭罗斯爵士的直觉，即时空不是物理学的基本竞技场。相反，基本的竞技场是扭量空间，物理学的时空表述是涌现的。扭量空间的数学结构是光线而不是时空点起主导作用，它为一些最基本的物理学理论提供了理想的家园，如广义相对论和规范理论。最初的想法是理论物理学中的重要问题，特别是量子引力问题，可以通过在扭量空间中的物理定律的公式来澄清。和许多伟大的想法一样，扭量理论在数学和物理学中向各种方向发展，这是它的最初开发者没有预料到的。在数学方面，其强大的方法已被应用于微分和积分几何，微分方程的分析和表示论。在物理学方面，它在广义相对论和量子场论中的应用，随着扭量空间中的弦理论概念的提出，以及扭量变量简化了粒子散射实验描述的最新认识，得到了新的推动。这种广泛的应用为不同研究领域之间的跨学科合作提供了完美的基础。