2004/05/31 by Francis A. Dolan, Francis A Dolan, Laurent Gallot +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Mathematical Analysis and Transform Methods #Nonlinear Waves and Solitons #hep-th
paper · pdf · doi:10.1088/1126-6708/2004/09/056
published as JHEP0409:056,2004 · The discussion of the case d=6 expanded; references added/corrected
arxiv created 2004/08/03 · openalex publication_date 2004/09/28 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
We study four-point correlation functions of half-BPS operators of arbitrary weight for all dimensions d=3,4,5,6 where superconformal theories exist. Using harmonic superspace techniques, we derive the superconformal Ward identities for these correlators and present them in a universal form. We then solve these identities, employing Jack polynomial expansions. We show that the general solution is parameterized by a set of arbitrary two-variable functions, with the exception of the case d=4, where in addition functions of a single variable appear. We also discuss the operator product expansion using recent results on conformal partial wave amplitudes in arbitrary dimension.