Graviton exchange and complete four-point functions in the AdS/CFT correspondence

The graviton exchange diagram for the correlation function of arbitrary scalar operators is evaluated in anti-de Sitter space, AdS_d+1. This enables us to complete the computation of the four-point amplitudes of dilaton and axion fields in IIB supergravity on AdS₅ × S⁵. By the AdS/CFT correspondence, we obtain the four-point functions of the marginal operators Tr(F² + . . .) and Tr(FF̃ + . . .) in script N = 4, d = 4 SU(N) SYM at large N, large g²_YMN. The short distance asymptotics of the amplitudes are studied. We find that in the direct channel the leading power singularity agrees with the expected contribution of the stress-energy tensor in a double OPE expansion. Logarithmic singularities occur in the complete four-point functions at subleading orders.