On duality of color and kinematics in (A)dS momentum space
  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.
