Cut-and-join operators and N=4 super Yang-Mills
arXiv:1002.2099 · doi:10.1007/JHEP05(2010)058
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.
44 pages, 3 figures; minor clarifications and typos fixed
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