BCJ relations in AdS5 × S 3 and the double-trace spectrum of super gluons

Abstract

We revisit the four-point function of super gluons in AdS5 ×S 3 in the spirit of the large p formalism and show how the integrand of a generalised Mellin transform satisfies various non-trivial properties such as U(1) decoupling identity, BCJ relations and colour-kinematic duality, in a way that directly mirrors the analogous relations in flat space. We unmix the spectrum of double-trace operators at large N and find all anomalous dimensions at leading order. The anomalous dimensions follow a very simple pattern, resembling those of other theories with hidden conformal symmetries.

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