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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 4 Pith papers

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    Simple feed-forward neural networks trained on crossing symmetry plus a single anchor value reproduce CFT correlators to percent-level accuracy, and the authors conjecture this works because physical correlators are t...

  2. Bootstrapping $\mathcal{N} = 4$ sYM correlators using Integrability and Localization

    hep-th 2024-11 conditional novelty 7.0 of 10

    Two-sided bounds on the Konishi OPE coefficient in planar N=4 sYM are derived at finite 't Hooft coupling by adding localization constraints to an integrability-based dispersive bootstrap.

  3. Higher-derivative corrections in M-theory from precision numerical bootstrap

    hep-th 2024-12 conditional novelty 6.0 of 10

    A numerical bootstrap with localization inputs extracts a tentative D^8R^4 higher-derivative coefficient in M-theory from ABJM correlators.

  4. Superconformal Blocks for Mixed 1/2-BPS Correlators with $SU(2)$ R-symmetry

    hep-th 2019-08 conditional novelty 6.0 of 10

    Explicit superconformal blocks for mixed half-BPS correlators with SU(2) R-symmetry are computed for all contributing multiplets in a dimension-independent way.

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