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Quantum Integrability for Three-Point Functions

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arxiv 1202.4103 v2 pith:PAIIJ2PQ submitted 2012-02-18 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords loopcorrectionsfunctionsintegrabilityoperatorsquantumthree-pointalgebraic
verification ladder T0 review T1 audit T2 compute T3 formal
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Quantum corrections to three-point functions of scalar single trace operators in planar N=4 Super-Yang-Mills theory are studied using integrability. At one loop, we find new algebraic structures that not only govern all two loop corrections to the mixing of the operators but also automatically incorporate all one loop diagrams correcting the tree level Wick contractions. Speculations about possible extensions of our construction to all loop orders are given. We also match our results with the strong coupling predictions in the classical (Frolov-Tseytlin) limit.

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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. 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. String theory methods for defect CFTs

    hep-th 2025-01 conditional novelty 2.0 of 10

    A review paper that re-presents earlier results on integrable probe-brane defects and holographic defect correlators without adding a new central result.

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