标题： 线性引力中的广义对称性 显示英文标题

标题： Generalised symmetries in linear gravity

摘要： 线性化的引力在一种全局对称性下具有不变性，该对称性使引力子通过满足特定平坦条件的对称张量进行位移。此外，还存在一种对偶对称性，可以与对偶引力子理论的全局平移对称性相关联。相应的守恒荷被证明满足一个中心扩展代数。我们讨论了这些全局对称性的规范化问题，发现同时规范化解这两种对称性存在障碍，我们将此解释为未规范化的理论中的混合't Hooft异常。我们讨论了这一点的含义，类似于麦克斯韦理论中类似结构所导致的结果，并将引力子和对偶引力子解释为这些平移对称性的Nambu-Goldstone模式。 显示英文摘要

摘要： Linearised gravity has a global symmetry under which the graviton is shifted by a symmetric tensor satisfying a certain flatness condition. There is also a dual symmetry that can be associated with a global shift symmetry of the dual graviton theory. The corresponding conserved charges are shown to satisfy a centrally-extended algebra. We discuss the gauging of these global symmetries, finding an obstruction to the simultaneous gauging of both symmetries which we interpret as a mixed 't Hooft anomaly for the ungauged theory. We discuss the implications of this, analogous to those resulting from a similar structure in Maxwell theory, and interpret the graviton and dual graviton as Nambu-Goldstone modes for these shift symmetries.