Bern-Carrasco-Johansson relations in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mrow><mml:mi>AdS</mml:mi></mml:mrow><mml:mn>5</mml:mn></mml:msub><mml:mo>×</mml:mo><mml:msup><mml:mi>S</mml:mi><mml:mn>3</mml:mn></mml:msup></mml:math> and the double-trace spectrum of super gluons

Abstract

We revisit the four-point function of super gluons in ${\mathrm{AdS}}_{5}\ifmmode\times\else\texttimes\fi{}{S}^{3}$ and show how the integrand of a generalized Mellin transform satisfies the $U(1)$ decoupling identity, Bern-Carrasco-Johansson relations and color-kinematic duality, in a way that directly mirrors the analogous flat space relations. We unmix the spectrum of double-trace operators at large $N$ and find all anomalous dimensions at leading order which follow a very simple pattern, as in other theories with hidden conformal symmetries.

Topics & Concepts