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}
}
  • T. Brown
  • Published 10 February 2010
  • Mathematics
  • Journal of High Energy Physics
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… 
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