标题： 共形协变的混合对称张量算子和MAGs 显示英文标题

标题： Conformally covariant operators of mixed-symmetry tensors and MAGs

摘要： 我们计算了任意维度中具有混合对称性的张量的共形协变作用量和算子$d$。 我们的结果完成了对任意三指标张量上二次的共形作用量的分类，这使得可以写出在包含扭转和非度规性的任意度规仿射引力理论的扰动张量分解中出现的所有张量种类的相应共形作用量。 我们还讨论了这类理论所传播的自由度，以及在高斯极限下享有共形作用量的相互作用度规仿射理论。 显示英文摘要

摘要： We compute conformally covariant actions and operators for tensors with mixed symmetries in arbitrary dimension $d$. Our results complete the classification of conformal actions that are quadratic on arbitrary tensors with three indices, which allows to write corresponding conformal actions for all tensor species that appear in the decomposition of the distorsion tensor of an arbitrary metric-affine theory of gravity including both torsion and nonmetricity. We also discuss the degrees of freedom that such theories are propagating, as well as interacting metric-affine theories that enjoy the conformal actions in the Gaussian limit.