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

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

1999-05-06

arxiv.org/abs/hep-th/9905049v1

Nucl.Phys.B562:395-411,1999

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 1 figure

Scientific paper

10.1016/S0550-3213(99)00526-X

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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