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

F. A. Dolan; M. Nirschl; H. Osborn

doi:10.1016/j.nuclphysb.2006.05.009

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arXiv · hep-th/0601148

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

F. A. Dolan·M. Nirschl·H. Osborn

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Abstract

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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F. A. Dolan, M. Nirschl, H. Osborn. 2006-01-26. Conjectures for Large N Superconformal N=4 Chiral Primary Four Point Functions. https://doi.org/10.1016/j.nuclphysb.2006.05.009

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