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Structure Constants in $\mathcal{N} = 4$ SYM and Separation of Variables

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arxiv 2210.04923 v2 pith:R7VRINJU submitted 2022-10-10 hep-th

Carlos Bercini , Alexandre Homrich , Pedro Vieira This is my paper · ORCID
classification hep-th
keywords mathcalorderssectorseparationvariablescompactcomputingconstants
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We propose a new framework for computing three-point functions in planar $\mathcal{N}=4$ super Yang-Mills where these correlators take the form of multiple integrals of Separation of Variables type. We test this formalism at weak coupling at leading and next-to-leading orders in a non-compact SL(2) sector of the theory and all the way to next-to-next-to-leading orders for a compact SU(2) sector. We find evidence that wrapping effects can also be incorporated.

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Cited by 3 Pith papers

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

  1. A universal scaling function for giant graviton OPE coefficients

    hep-th 2026-07 conditional novelty 7.0 of 10

    In planar N=4 SYM, the large-spin OPE coefficient for two maximal giant gravitons and a twist-two operator scales as S^{d(g)}, with d(g) computed at arbitrary coupling.

  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. Probing Line Defect CFT with Mixed-Correlator Bootstrability

    hep-th 2024-12 conditional novelty 6.0 of 10

    Using mixed-correlator bootstrability with parity and localization input, this paper produces new finite-coupling bounds on 12 OPE coefficients and a new exact BPS structure constant for the Maldacena-Wilson line defect CFT.

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