论文标题
非Lorentzian底漆
A non-lorentzian primer
论文作者
论文摘要
我们回顾了非洛伦兹理论及其相关几何形状的运动学和动力学。首先，我们介绍了非Lorentzian运动空间及其对称代数。接下来，我们使用非线性实现方法构建描述这些运动学空间中某些粒子动力学的动作。我们解释了与Coadhexhexhient Orbit方法的关系。我们继续讨论三种类型的非洛伦兹重力理论：加利利重力，牛顿 - 卡丹重力和卡罗尔重力。引入物质，我们讨论了三种不同自旋的电气和磁性非Lorentzian场理论：Spin-0，Spin-1/2和Spin-1，作为相对论理论的限制。
We review both the kinematics and dynamics of non-lorentzian theories and their associated geometries. First, we introduce non-lorentzian kinematical spacetimes and their symmetry algebras. Next, we construct actions describing the particle dynamics in some of these kinematical spaces using the method of nonlinear realisations. We explain the relation with the coadjoint orbit method. We continue discussing three types of non-lorentzian gravity theories: Galilei gravity, Newton-Cartan gravity and Carroll gravity. Introducing matter, we discuss electric and magnetic non-lorentzian field theories for three different spins: spin-0, spin-1/2 and spin-1, as limits of relativistic theories.
