Perturbative Four-Point Functions In Planar N=4 SYM From Hexagonalization
High Energy Physics - Theory
2019-01-30 v1
Abstract
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-valued polylogarithms with uniform maximal transcendentality. As a check of our results 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.
Cite
@article{arxiv.1811.00467,
title = {Perturbative Four-Point Functions In Planar N=4 SYM From Hexagonalization},
author = {Frank Coronado},
journal= {arXiv preprint arXiv:1811.00467},
year = {2019}
}
Comments
39 pages + appendices, 19 figures