Cut-and-join operators and $ \mathcal{N} = 4 $ super Yang-Mills
@article{Brown2010CutandjoinOA, title={Cut-and-join operators and \$ \mathcal\{N\} = 4 \$ super Yang-Mills}, author={T. W. Brown}, journal={Journal of High Energy Physics}, year={2010}, volume={2010}, pages={1-46} }
We show which multi-trace structures are compatible with the symmetrisation of local operators in $ \mathcal{N} = 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…
16 Citations
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