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AdS/CFT 4-point functions: How to succeed at z-integrals without really trying

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arxiv hep-th/9905049 v1 pith:6UKA2E3S submitted 1999-05-06 hep-th

Eric D'Hoker , Daniel Z. Freedman , Leonardo Rastelli This is my paper · ORCID
classification hep-th
keywords exchangescalardiagramsfunctionsgraphsintegralspointrequired
verification ladder T0 review T1 audit T2 compute T3 formal
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A new method is discussed which vastly simplifies one of the two integrals over AdS(d+1) required to compute exchange graphs for 4-point functions of scalars in the AdS/CFT correspondence. The explicit form of the bulk-to-bulk propagator is not required. Previous results for scalar, gauge boson and graviton exchange are reproduced, and new results are given for massive vectors. It is found that precisely for the cases that occur in the AdS(5) X S(5) compactification of Type IIB supergravity, the exchange diagrams reduce to a finite sum of graphs with quartic scalar vertices. The analogous integrals in n-point scalar diagrams for n>4 are also evaluated.

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Cited by 2 Pith papers

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    hep-th 2025-08 conditional novelty 6.0 of 10

    A regulated large-spin effective Hamiltonian with three-body phi exchange and local terms gives the O(lambda^2) anomalous dimension of [Phi, Phi^2]_J, including a log J / J^(2 Delta) correction.

  2. Dirichlet, Neumann, Mixed and self-dual holography: (self-dual) Yang--Mills theory II

    hep-th 2026-06 unverdicted novelty 4.0 of 10

    Derives bulk and boundary propagators and computes 3- and 4-point correlators for YM, CS and SDYM in AdS/CFT with multiple boundary conditions to relate their observables.

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