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

Francis A. Dolan·Laurent Gallot·Emery Sokatchev
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Abstract

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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Francis A. Dolan, Laurent Gallot, Emery Sokatchev. 2004-08-03. On Four-Point Functions of Half-BPS Operators in General Dimensions. https://doi.org/10.1088/1126-6708%2F2004%2F09%2F056

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