标题： Carrollian振幅的微分方程 显示英文标题

标题： Differential Equations for Carrollian Amplitudes

摘要： 微分方程是在共形场理论(CFTs)相关函数研究中的强大工具。 卡罗尔幅度表现为卡罗尔CFT的相关函数，该理论全息描述了渐近平坦时空。 我们推导出卡罗尔MHV胶子和引力子幅度满足的线性微分方程。 我们得到了胶子和引力子情况下的非分布解。 我们对这些微分方程进行了各种一致性检查，包括与共形卡罗尔对称性的兼容性。 显示英文摘要

摘要： Differential equations are powerful tools in the study of correlation functions in conformal field theories (CFTs). Carrollian amplitudes behave as correlation functions of Carrollian CFT that holographically describes asymptotically flat spacetime. We derive linear differential equations satisfied by Carrollian MHV gluon and graviton amplitudes. We obtain non-distributional solutions for both the gluon and graviton cases. We perform various consistency checks for these differential equations, including compatibility with conformal Carrollian symmetries.