Froissart bound for/from CFT Mellin amplitudes

We derive bounds analogous to the Froissart bound for the absorptive part of CFTd 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. For d > 4, the form is different. We show that while for CFTd <= 6, the number of subtractions needed to write a dispersion relation for the Mellin amplitude is equal to 2, for CFTd>6 the number of subtractions needed is greater than 2 and goes to infinity as d goes to infinity.