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arXiv · 2202.09837

BCJ relations in ${AdS}_5 \times S^3$ and the double-trace spectrum of super gluons

J. M. Drummond·R. Glew·M. Santagata
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Abstract

We revisit the four-point function of super gluons in $AdS_5 \times S^3$ 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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J. M. Drummond, R. Glew, M. Santagata. 2022-02-20. BCJ relations in ${AdS}_5 \times S^3$ and the double-trace spectrum of super gluons. https://doi.org/10.1103/physrevd.107.l081901

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