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Quantum Integrability for Three-Point Functions

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abstract

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.

fields

hep-th 1

years

2025 1

verdicts

CONDITIONAL 1

representative citing papers

String theory methods for defect CFTs

hep-th · 2025-01-21 · conditional · novelty 2.0

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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  • String theory methods for defect CFTs hep-th · 2025-01-21 · conditional · none · ref 130 · internal anchor

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