论文标题
（a）ds动量空间中的颜色和运动学双重性
On duality of color and kinematics in (A)dS momentum space
论文作者
论文摘要
我们在动量空间中探索了树级广告/CFT相关器的颜色基因二元性。我们首先研究树级广告中的双聚体标量，这是一个说明性的例子。我们通过研究Yang-Mills理论中的两种形式的颜色双重双重性，这是ADS $ _4 $中的综合相关器的两种形式，而Intecterand的第二种是一般广告中的intemandand $ _ {d+1} $。对于集成的相关器，我们发现颜色界数不会在$ n $点，颜色排序的相关器之间产生额外的关系。为了研究广告$ _ {d+1} $ yang-mills intaptand的颜色界面，我们使用散装式传播器的频谱表示，以便ADS图在结构上与其平面空间对应物相似。最后，我们研究了集成相关器和ADS Integrand的双层拷贝关系的颜色KLT关系。我们发现广告中的双拷贝自然将AD $ _ {D+3} $中的Bi-Adxhixhixhixhoint理论与Ads $ _ {D+1} $中的Yang-Mills联系起来。我们还在AD $ _ {D+1} $和ADS $ _ {D-1} $中的Yang-Mills之间的三分方面找到了双重拷贝关系，并就更高点的概括进行了评论。通过分析延续，可以将这些结果转化为关于Sitter中宇宙波功能的陈述。
We explore color-kinematic duality for tree-level AdS/CFT correlators in momentum space. We start by studying the bi-adjoint scalar in AdS at tree-level as an illustrative example. We follow this by investigating two forms of color-kinematic duality in Yang-Mills theory, the first for the integrated correlator in AdS$_4$ and the second for the integrand in general AdS$_{d+1}$. For the integrated correlator, we find color-kinematics does not yield additional relations among $n$-point, color-ordered correlators. To study color-kinematics for the AdS$_{d+1}$ Yang-Mills integrand, we use a spectral representation of the bulk-to-bulk propagator so that AdS diagrams are similar in structure to their flat space counterparts. Finally, we study color KLT relations for the integrated correlator and double-copy relations for the AdS integrand. We find that double-copy in AdS naturally relates the bi-adjoint theory in AdS$_{d+3}$ to Yang-Mills in AdS$_{d+1}$. We also find a double-copy relation at three-points between Yang-Mills in AdS$_{d+1}$ and gravity in AdS$_{d-1}$ and comment on the higher-point generalization. By analytic continuation, these results on AdS/CFT correlators can be translated into statements about the wave function of the universe in de Sitter.
