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

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

2004-05-20

arxiv.org/abs/hep-th/0405180v2

JHEP0409:056,2004

Physics

High Energy Physics

High Energy Physics - Theory

The discussion of the case d=6 expanded; references added/corrected

Scientific paper

10.1088/1126-6708/2004/09/056

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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