AdS/CFT four-point functions: how to succeed at \(z\)-integrals without really trying
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Publication:1572357
DOI10.1016/S0550-3213(99)00526-XzbMATH Open0958.81143arXivhep-th/9905049OpenAlexW2118411931MaRDI QIDQ1572357
Author name not available (Why is that?)
Publication date: 12 July 2000
Published in: (Search for Journal in Brave)
Abstract: 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.
Full work available at URL: https://arxiv.org/abs/hep-th/9905049
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