Mellin amplitude for n-gluon scattering in anti-de Sitter spacetime

In AdS/CFT, we introduce a robust method for computing n -point gluon Mellin amplitudes, applicable in various spacetime dimensions. Using the Mellin transform and a recursive algorithm, we efficiently calculate tree -level gluon amplitudes. Our approach simplifies the representation of higher -point amplitudes, eliminating the need for complicated integrations. Crucially, the resulting amplitudes closely mirror those in flat space, allowing a straightforward dictionary between the two settings circumventing explicit calculations.