标题： 质量为零和部分质量为零的自旋-1和自旋-2场的三次相互作用 显示英文标题

标题： Cubic interactions for massless and partially massless spin-1 and spin-2 fields

摘要： 我们对包含任意数量无质量自旋-1、无质量自旋-2和部分质量缺失（PM）自旋-2场的系统在$D$维度的(反)德西特空间中的一致二阶导数三次耦合进行了完整的分类。 除了已知的结果外，我们发现了一种自旋-1和PM自旋-2场之间的唯一候选混合。 我们推导了理论中结构常数的所有二次约束，允许任何场的相对“负号”动能项。 在每个扇区的动能项没有相对符号的特殊情况中，我们发现唯一的非平凡一致理论是由多个独立的共形引力与一个在$D=4$中的杨-米尔斯扇区耦合而成。 我们的结果加强了关于无质量及PM自旋-2场之间不存在相互作用的著名无解定理。 显示英文摘要

摘要： We perform a complete classification of the consistent two-derivative cubic couplings for a system containing an arbitrary number of massless spin-1, massless spin-2, and partially massless (PM) spin-2 fields in $D$-dimensional (anti-)de Sitter space. In addition to previously known results, we find a unique candidate mixing between spin-1 and PM spin-2 fields. We derive all the quadratic constraints on the structure constants of the theory, allowing for relative ``wrong-sign'' kinetic terms for any of the fields. In the particular case when the kinetic terms in each sector have no relative signs, we find that the unique consistent non-trivial theory is given by multiple independent copies of conformal gravity coupled to a Yang-Mills sector in $D=4$. Our results strengthen the well-known no-go theorems on the absence of mutual interactions for massless and PM spin-2 fields.