标题： 尺度和共形不变性在(A)dS上 显示英文标题

标题： Scale and Conformal Invariance on (A)dS

摘要： 我们研究在最大对称的弯曲背景上尺度不变性与共形不变性的关系，并研究向量和张量的一般二阶导数共形不变自由理论。 对于时空维度$D>4$，这些共形理论可以对角化为标准的有质量场，在这些场中未被破坏的共形对称性非平凡地混合了不同自旋的分量。 在$D=4$中，张量情况变为一个混合部分无质量自旋-2场与无质量自旋-1场的共形理论。 对于$D = 4$中的无质量线性化引力，我们通过直接计算确认，规范不变算符的相关函数尽管在作用量层面缺乏标准的共形对称性，但仍具有共形不变的形式。 显示英文摘要

摘要： We examine the question of scale versus conformal invariance on maximally symmetric curved backgrounds and study general 2-derivative conformally invariant free theories of vectors and tensors. For spacetime dimension $D>4$, these conformal theories can be diagonalized into standard massive fields in which unbroken conformal symmetry non-trivially mixes components of different spins. In $D=4$, the tensor case becomes a conformal theory mixing a partially massless spin-2 field with a massless spin-1 field. For massless linearized gravity in $D = 4$, we confirm through direct calculation that correlation functions of gauge-invariant operators take the conformally invariant form, despite the absence of standard conformal symmetry at the level of the action.