AdS / CFT four point functions: How to succeed at z integrals without really trying
- Eric D'Hoker(,)
- UCLA and
- Santa Barbara, KITP and
- MIT, LNS and
- MIT
- ,
19 pages
Published in:
- Nucl.Phys.B 562 (1999) 395-411
e-Print:
- hep-th/9905049 [hep-th]
Report number:
- MIT-CTP-2857,
- UCLA-99-TEP-16
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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.Note:
- 18 pages, 1 figure
- field theory: anti-de Sitter
- field theory: conformal
- n-point function: 4
- exchange: vector
- exchange: graviton
- analytic properties
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