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On Four-Point Functions of Half-BPS Operators in General Dimensions

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arxiv hep-th/0405180 v2 pith:J6TIQIPP submitted 2004-05-20 hep-th

Francis A. Dolan , Laurent Gallot , Emery Sokatchev This is my paper · ORCID
classification hep-th
keywords functionsarbitrarydimensionsfour-pointgeneralhalf-bpsidentitiesoperators
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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.

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Cited by 5 Pith papers

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