Froissart bound for/from CFT Mellin amplitudes

Understand

We derive bounds analogous to the Froissart bound for the absorptive part of CFT$_d$ Mellin amplitudes.

• Invoking the AdS/CFT correspondence, these amplitudes correspond to scattering in AdS$_{d+1}$.
• We can take a flat space limit of the corresponding bound.
• We find the standard Froissart-Martin bound, including the coefficient in front for $d+1=4$ being $\pi/\mu^2$, $\mu$ being the mass of the lightest exchange.