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Cut-and-join operators and $ \mathcal{N} = 4 $ super Yang-Mills

Cut-and-join operators and $ \mathcal{N} = 4 $ super Yang-Mills

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 …