作为运动代数扩张的无限维代数
Infinite-dimensional algebras as extensions of kinematic algebras
摘要：
运动学代数可以在几何空间上实现，并约束可以在这些空间上生存的物理模型。不同类型的运动代数存在，我们认为这些代数的相互作用的非相对论性限制的相对论性系统，包括伽利略和卡罗尔限制。我们开发了一个框架，捕捉系统的修正严格的非相对论性的限制，通过引入新的无限维代数，重点是卡罗尔的情况下。我们的结果之一是突出了一种新的类型的伽利略和卡罗尔限制，延伸到更正之间的对偶。我们用粒子模型来实现这些代数。其他应用包括曲率校正和背景电磁场中的粒子。
英文摘要：
Kinematic algebras can be realised on geometric spaces and constrain the physical models that can live on these spaces. Different types of kinematic algebras exist and we consider the interplay of these algebras for non-relativistic limits of a relativistic system, including both the Galilei and the Carroll limit. We develop a framework that captures systematically the corrections to the strict non-relativistic limit by introducing new infinite-dimensional algebras, with emphasis on the Carroll case. One of our results is to highlight a new type of duality between Galilei and Carroll limits that extends to corrections as well. We realise these algebras in terms of particle models. Other applications include curvature corrections and particles in a background electro-magnetic field.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
