Note on generating functions and connected correlators of 1/2-BPS Wilson loops in $\mathcal{N}=4$ SYM theory
High Energy Physics - Theory
2019-08-30 v2
Abstract
The generating functions for the Wilson loops in the symmetric and antisymmetric representations of the gauge group are expressed in terms of the connected correlators of multiply-wound Wilson loops, using ingredients from the representation theory of the symmetric group. This provides a proof of a recent observation by Okuyama. As a by-product, we present a new calculation of the connected 2-point correlator of multiply-wound Wilson loops at leading order in .
Cite
@article{arxiv.1906.03816,
title = {Note on generating functions and connected correlators of 1/2-BPS Wilson loops in $\mathcal{N}=4$ SYM theory},
author = {Anthonny F. Canazas Garay and Alberto Faraggi and Wolfgang Mück},
journal= {arXiv preprint arXiv:1906.03816},
year = {2019}
}
Comments
16 pages, v2: references added, changes in intro and conclusions, corrected typos