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Conformal Partial Wave Expansions for N=4 Chiral Four Point Functions

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arxiv hep-th/0412335 v4 pith:L5YILW3I submitted 2004-12-31 hep-th

F. A. Dolan , H. Osborn This is my paper · ORCID
classification hep-th
keywords fourmultipletstwistconformalcontributionsfoundfunctionspartial
verification ladder T0 review T1 audit T2 compute T3 formal
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The conformal partial wave analysis of four point functions of half BPS operators belonging to the SU(4) [0,p,0] representation is undertaken for p=2,3,4. Using the results of N=4 superconformal Ward identities the contributions from protected short and semi-short multiplets are identified in terms of the free field theory. In the large N limit contributions corresponding to long multiplets with twist up to 2p-2 are absent. The anomalous dimensions for twist two singlet multiplets are found to order g^4 and agree with other perturbative calculations. Results for twist four and six are also found.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Composite operators in $\mathcal{N}=4$ Super Yang-Mills

    hep-th 2024-12 conditional novelty 6.0 of 10

    Protected symmetry data alone fix the tree-level supergravity correlators of dimension-four double-trace operators, revealing anomalous dimensions for triple-trace operators.

  2. Tracing Transcendentality in Protected Correlators of N=4 SYM

    hep-th 2026-06 unverdicted novelty 5.0 of 10

    Explicit two-loop computations of protected correlators in N=4 SYM yield a universal one-loop term and a planar extrapolation at arbitrary dimension controlled by stress-tensor multiplet count.

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