Speaker
Description
In conformal field theory, the maximal Mellin analyticity conjecture states that all singularities of Mellin amplitudes arise from poles at the twists exchanged in the operator product expansion. For CFTs dual to quantum field theories in Anti de Sitter space, we explore the implications of this conjecture for multi-particle scattering amplitudes in the flat space limit. After motivating the analyticity conjecture from the non-perturbative Mellin transform of multi-point correlation functions, we find spectrum-dependent conditions for analyticity near the physical region. This provides a new perspective on the longstanding problem of local analyticity in S-matrix theory; that is, whether the amplitude at a physical point is the boundary value of a single analytic function. We also comment on deriving crossing symmetry using this method. Based on work in progress with Filip Herček and Balt van Rees.