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

Date

2021-03-01

Author

Albayrak, Soner
Kharel, Savan
Meltzer, David

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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 AdS4 and the second for the integrand in general AdSd+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 AdSd+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 AdSd+3 to Yang-Mills in AdSd+1. We also find a double-copy relation at three-points between Yang-Mills in AdSd+1 and gravity in AdSd−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.

Subject Keywords

AdS-CFT Correspondence, Conformal Field Theory, Gauge-gravity correspondence, Scattering Amplitudes

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https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85103569366&origin=inward
https://hdl.handle.net/11511/107423

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Department of Physics, Article