标题： 时空对称性的非线性规范实现包括平移 显示英文标题

标题： Nonlinear Gauge Realization of Spacetime Symmetries Including Translations

摘要： 我们提出了一种在所考虑群的陪集空间上对时空群进行非线性规范实现的一般方案。 为了展示该方法在严格处理引力规范理论中的平移方面的相关性，我们特别将其应用于仿射群。 这是具有半直积形式$H\semidirect T$的时空对称性的示例，其中$H$是稳定性子群， $T$是平移。 当涉及陪集实现时，连接的平移分量在$H$下表现得像一个真正的张量。 显示英文摘要

摘要： We present a general scheme for the nonlinear gauge realizations of spacetime groups on coset spaces of the groups considered. In order to show the relevance of the method for the rigorous treatment of the translations in gravitational gauge theories, we apply it in particular to the affine group. This is an illustration of the family of spacetime symmetries having the form of a semidirect product $H\semidirect T$, where $H$ is the stability subgroup and $T$ are the translations . The translational component of the connection behaves like a true tensor under $H$ when coset realizations are involved.