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Graviton exchange and complete 4-point functions in the AdS/CFT correspondence

Eric D'Hoker·Daniel Z. Freedman·Samir D. Mathur·Alec Matusis·Leonardo Rastelli
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Abstract

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 4-point amplitudes of dilaton and axion fields in IIB supergravity on AdS5 X S5. By the AdS/CFT correspondence, we obtain the 4-point functions of the marginal operators Tr (F^2+...) and Tr(F F~ +...) in N=4, d=4 SU(N) SYM at large N, large g^2 N. 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 4-point functions at subleading orders.

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Eric D'Hoker, Daniel Z. Freedman, Samir D. Mathur, Alec Matusis, Leonardo Rastelli. 1999-03-23. Graviton exchange and complete 4-point functions in the AdS/CFT correspondence. https://doi.org/10.1016/s0550-3213(99)00525-8

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