发表机构
Colorado Mesa University（科罗拉多梅萨大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究将双拷贝推广至任意指标的全反对称结构常数，构建了离壳颜色对偶的标量理论塔及修正陈-西蒙斯理论，并给出保证离壳颜色对偶的规范条件。
AI 中文摘要
已知参与双拷贝的基本颜色构建块屈指可数，最著名的是规范理论的结构常数。本研究将双拷贝扩展到包含具有任意多个指标的完全反对称“结构常数”的无限族。我们提出并论证了联系这些$n$指标结构常数的雅可比恒等式。对于每个$n$，我们提供一个导数耦合的标量理论，该理论在离壳时满足颜色对偶。该塔的最低层是二维扎哈罗夫-米哈伊洛夫理论，每个更高的时空维度对应一个理论。塔的每个成员都表现出与颜色-运动学对偶相关的守恒流、软定理、离壳递推关系以及经典共形不变性。我们还提供了一族修正的非阿贝尔陈-西蒙斯理论，其场通过$n$指标结构常数非线性耦合。修正的陈-西蒙斯理论平凡地具有拓扑性和经典共形性，但通常表现出如动力学混合等不寻常特征。我们确定了一个可能非物理的规范条件，该条件将确保该塔在离壳时满足颜色对偶。
英文摘要
Only a handful of elementary color building blocks are known to participate in the double copy, most notably the structure constants of gauge theory. This work extends the double copy to include the infinite family of totally antisymmetric ``structure constants'' with arbitrarily many indices. We propose and motivate the Jacobi identities relating these $n$-index structure constants. For each $n$, we provide a derivatively-coupled scalar theory that is color-dual off-shell. The lowest level in this tower is two-dimensional Zakharov-Mikhailov theory, with one theory for each higher spacetime dimension. Each member of the tower exhibits a conserved current associated with color-kinematics duality, a soft theorem, an on-shell recursion relation, and classical conformal invariance. We also provide a tower of modified non-abelian Chern-Simons theories whose fields couple non-linearly through the $n$-index structure constants. The modified Chern-Simons theories are trivially topological and classically conformal but generally exhibit unusual features like kinetic mixing. A potentially unphysical gauge condition is identified that would ensure that the tower is color-dual off-shell.
Comments30 pages
