Cut-and-join operators and N=4 super Yang-Mills

Details Cut-and-join operators and N=4 super Yang-Mills Cut-and-join operators and N=4 super Yang-Mills

2010-02-10

arxiv.org/abs/1002.2099v3

JHEP 1005:058,2010

Physics

High Energy Physics

High Energy Physics - Theory

44 pages, 3 figures; minor clarifications and typos fixed

Scientific paper

10.1007/JHEP05(2010)058

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.

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