Veneziano Amplitude of Vasiliev Theory

Understand

We compute the four-point function of scalar operators in CFTs with weakly broken higher spin symmetry at arbitrary 't Hooft coupling.

• We use the known three-point functions in these theories, the Lorentzian OPE inversion formula and crossing to fix the result up to the addition of three functions of the cross ratios.
• These are given by contact Witten diagrams in AdS and manifest non-analyticity of the OPE data in spin.
• We use Schwinger-Dyson equations to show that such terms are absent in the large $N$ Chern-Simons matter theories.