Document Zbl 1409.81142

Perturbative four-point functions in planar \( \mathcal{N}=4 \) SYM from hexagonalization. (English) Zbl 1409.81142

J. High Energy Phys. 2019, No. 1, Paper No. 56, 55 p. (2019).

Summary: We use hexagonalization to compute four-point correlation functions of long BPS operators with special R-charge polarizations. We perform the computation at weak coupling and show that at any loop order our correlators can be expressed in terms of single value polylogarithms with uniform and maximal transcendentality. As a check of our computation we extract nine-loop OPE data and compare it against sum rules of (squared) structures constants of non-protected exchanged operators described by hundreds of Bethe solutions.

Cited in 1 Review

Cited in 40 Documents

MSC:

81T60	Supersymmetric field theories in quantum mechanics
70S15	Yang-Mills and other gauge theories in mechanics of particles and systems
81R12	Groups and algebras in quantum theory and relations with integrable systems

Keywords:

Bethe ansatz; conformal field theory; integrable field theories; supersymmetric gauge theory

Software:

Mathematica

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Full Text: DOI arXiv

References:

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