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It has been understood that correlation functions of multi-trace operators in $${\mathcal{N}=4}$$ N = 4 SYM can be neatly computed using the group algebra of symmetric groups or walled Brauer algebras. On the other hand, such algebras have been known to construct 2D topological field theories (TFTs). After reviewing the construction of 2D TFTs based on symmetric groups, we construct 2D...
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