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

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

1999-03-23

arxiv.org/abs/hep-th/9903196v1

Nucl.Phys.B562:353-394,1999

Physics

High Energy Physics

High Energy Physics - Theory

43 pages, 6 figures

Scientific paper

10.1016/S0550-3213(99)00525-8

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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