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Abstract:
I will report on an ongoing work to derive bounds (analogous to the Froissart bound) for CFT Mellin amplitudes. Invoking the AdS/CFT correspondence, we can take a flat space limit of the corresponding bound. We find the standard Froissart-Martin bound including the coefficient in front. Further, we show that for $CFT_{d>6}$ the number of subtractions needed to write a dispersion relation is greater than 2.