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Conjectures for large N N=4 superconformal chiral primary four point functions

2006/01/26 by F. A. Dolan, F.A. Dolan, M. Nirschl +1 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Dimension (graph theory) #Field (mathematics) #Geometry #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Operator (biology) #Operator product expansion #Order (exchange) #Particle physics theoretical and experimental studies #Physics #Product (mathematics) #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Symmetry (geometry) #Twist #Unitarity #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2006.05.009

published as Nucl.Phys.B749:109-152,2006 · 50 pages, 1 figure, uses harvmac, version 2 extra reference, minor changes

arxiv created 2006/01/26 · openalex publication_date 2006/06/06 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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 AdS5 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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