Cut-and-join operators and N=4 super Yang-Mills
High Energy Physics - Theory
2010-05-27 v3
Abstract
We show which multi-trace structures are compatible with the symmetrisation of local operators in \cN=4 super Yang-Mills when they are organised into representations of the global symmetry group. Cut-and-join operators give the non-planar expansion of correlation functions of these operators in the free theory. Using these techniques we find the 1/N corrections to the quarter-BPS operators which remain protected at weak coupling. We also present a new way of counting these chiral ring operators using the Weyl group S_N.
Keywords
Cite
@article{arxiv.1002.2099,
title = {Cut-and-join operators and N=4 super Yang-Mills},
author = {T. W. Brown},
journal= {arXiv preprint arXiv:1002.2099},
year = {2010}
}
Comments
44 pages, 3 figures; minor clarifications and typos fixed