Conjectures for Large N Superconformal N=4 Chiral Primary Four Point Functions

Details Conjectures for Large N Superconformal N=4 Chiral Primary Four Point Functions Conjectures for Large N Superconformal N=4 Chiral Primary Four Point Functions

2006-01-20

arxiv.org/abs/hep-th/0601148v2

Nucl.Phys.B749:109-152,2006

Physics

High Energy Physics

High Energy Physics - Theory

50 pages, 1 figure, uses harvmac, version 2 extra reference, minor changes

Scientific paper

10.1016/j.nuclphysb.2006.05.009

An expression for the four point function for half-BPS operators belonging to the [0,p,0] SU(4) representation in N=4 superconformal theories at strong coupling in the large N limit is suggested for any p. It is expressed in terms of the four point integrals defined by integration over AdS_5 and agrees with, and was motivated by, results for p=2,3,4 obtained via the AdS/CFT correspondence. Using crossing symmetry and unitarity, the detailed form is dictated by the requirement that at large N the contribution of long multiplets with twist less than 2p, which do not have anomalous dimensions, should cancel corresponding free field contributions.

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