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On the counting tensor model observables as U(N) and O(N) classical invariants

On the counting tensor model observables as U(N) and O(N) classical invariants

Real or complex tensor model observables, the backbone of the tensor theory space, are classical (unitary, orthogonal, symplectic) Lie group invariants. These observables represent as colored graphs, and that representation gives an handle to study their combinatorial, topological and algebraic properties. We give here an overview of the symmetric group-theoretic …