Abstract
We present a double copy relation in AdS_{5} that relates tree-level four-point amplitudes of supergravity, super Yang-Mills, and bi-adjoint scalars.
Highlights
Introduction.—Scattering amplitudes in flat space exhibit surprising properties that encode deep lessons for quantum field theories and gravity
We will focus on AdS5 and take advantage of supersymmetry, which allows us to reduce the Mellin amplitudes to simpler “reduced” Mellin amplitudes
We find that it is in these reduced objects that color-kinematic duality and the double copy relation are naturally realized
Summary
Princeton Center for Theoretical Science, Princeton University, Princeton, New Jersey 08544, USA (Received 27 June 2021; accepted 7 September 2021; published 27 September 2021). We present a double copy relation in AdS5 that relates tree-level four-point amplitudes of supergravity, super Yang-Mills, and bi-adjoint scalars. While color-kinematic duality has been observed for four points [5,6,7,8], AdS double copy so far has only worked for three-point functions [3,4] It was not clear if the flat-space relation has to be drastically modified at higher points. Tree-level Mellin amplitudes of AdS supergravity and super gauge theories in various spacetime dimensions were systematically studied in [7,16,17,18,19,20,21,22,23], and a Mellin colorkinematic relation similar to the flat-space one was pointed out in [7]. We consider the correlator of four scalar operators Oki with conformal dimensions ki [24]: Gk1k2k3k4 1⁄4 hOk1 Ok2 Ok3 Ok4 i: ð1Þ
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