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Tensor models, Kronecker coefficients and permutation centralizer algebras

Tensor models, Kronecker coefficients and permutation centralizer algebras

A bstract We show that the counting of observables and correlators for a 3-index tensor model are organized by the structure of a family of permutation centralizer algebras. These algebras are shown to be semi-simple and their Wedderburn-Artin decompositions into matrix blocks are given in terms of Clebsch-Gordan coefficients of …