论文标题
在Schwarzian的同类机制上
On the Schwarzian counterparts of conformal mechanics
论文作者
论文摘要
结果表明，如果Schwarzian力学中的能量（SM）等于De Alfaro-Fubini-Furlan（Daff）模型中的耦合常数，则这两个系统之间存在联系。特别地，通过将特殊类型的坐标转换应用到DAFF模型的转换，而DAFF系统映射的一般解决方案可以从DAFF模型的SL（2，R） - 对称转换和相应的SM的保守电荷来得出SL（2，R）的对称方程，而DAFF系统映射的一般解决方案可以从SM的速度函数中进行。提出了一种通过非线性实现方法重现此链接的方法。讨论了牛顿 - 霍克（NH）时空中达夫力学的施瓦茨式对应物以及DAFF模型的较高衍生性概括。
It is shown that, if the energy in the Schwarzian mechanics (SM) is equal to the coupling constant in the de Alfaro-Fubini-Furlan (DAFF) model, there exists a link between these two systems. In particular, the equation of motion, SL(2,R)-symmetry transformations and the corresponding conserved charges of SM can be derived from those of the DAFF model by applying a coordinate transformation of a special type, while the general solution of the DAFF system maps to the velocity function of SM. A way to reproduce this link via the method of nonlinear realizations is presented. Schwarzian counterparts of the DAFF mechanics in Newton-Hooke (NH) spacetime as well as a higher derivative generalization of the DAFF model are discussed.
