Octagons I: Combinatorics and Non-Planar Resummations
Abstract
We explain how the 't Hooft expansion of correlators of half-BPS operators can be resummed in a large-charge limit in N=4 super Yang-Mills theory. The full correlator in the limit is given by a non-trivial function of two variables: One variable is the charge of the BPS operators divided by the square root of the number Nc of colors; the other variable is the octagon that contains all the 't Hooft coupling and spacetime dependence. At each genus g in the large Nc expansion, this function is a polynomial of degree 2g+2 in the octagon. We find several dual matrix model representations of the correlators in the large-charge limit. Amusingly, the number of colors in these matrix models is formally taken to zero in the relevant limit.
Keywords
Cite
@article{arxiv.1904.00965,
title = {Octagons I: Combinatorics and Non-Planar Resummations},
author = {Till Bargheer and Frank Coronado and Pedro Vieira},
journal= {arXiv preprint arXiv:1904.00965},
year = {2019}
}
Comments
22+26 pages, 29 figures; v2: references updated, small changes and additions, published version