Non-associative differential geometry and L algebras towards a description of non-geometric closed string vacua

非结合微分几何和 L 代数来描述非几何闭弦真空

• 批准号: 2127822
• 金额: --
• 依托单位: Heriot-Watt University
• 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-2127822
• 关键词: Non; associative; differential; geometry; algebras

The foundations of a non-associative gravity induced by locally non-geometric R-flux backgrounds of string theory were laid in [1]. Moving on the same direction, we study the relation of invariance under non-associative diffeomorphisms on spacetime of our geometry, the classical diffeomorphism symmetry of closed string theory and the generalized diffeomorphism symmetries of double field theory. Furthermore, we aim to construct an appropriate action functional for the on-associative Einstein equations, and further study the pullbacks of phase space Torsion and Riemann curvatures to the underlying spacetime. Towards this goal we shall express Einstein-Cartan gravity in the language of L algebras, as done recently for usual gauge theories [2]. Following that, we aim to twist the underlying geometrical structure. This line of research should provide evidence for the expected relevance of non associative geometry as a low energy limit of closed string theory

在[1]中奠定了弦理论局部非几何r -通量背景诱导的非关联引力的基础。在同一方向上，我们研究了几何时空上非结合微分同构的不变性关系、闭弦理论的经典微分同构对称性和双场论的广义微分同构对称性。此外，我们的目标是构造一个合适的非关联爱因斯坦方程的作用泛函，并进一步研究相空间扭转和黎曼曲率对基础时空的回调。为了达到这个目标，我们将用L代数的语言来表达爱因斯坦-卡坦引力，就像最近为通常的规范理论所做的那样。接下来，我们的目标是扭转潜在的几何结构。这条研究路线应该为非结合几何作为闭弦理论的低能量极限的预期相关性提供证据

项目成果

L 8 -algebras of Einstein-Cartan-Palatini gravity

L 8 -爱因斯坦-嘉当-帕拉蒂尼引力的代数

• DOI: 10.1063/5.0011344
• 发表时间: 2020
• 期刊: Journal of Mathematical Physics
• 影响因子: 1.3
• 作者: Dimitrijevic Ciric M