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arXiv · 1002.2099

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

T. W. Brown
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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.

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T. W. Brown. 2010-02-10. Cut-and-join operators and N=4 super Yang-Mills. https://doi.org/10.1007/jhep05(2010)058

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