Counting $U(N{)}^{\otimes r}\otimes O(N{)}^{\otimes q}$ invariants and tensor model observables

Remi Cocou Avohou, Joseph Ben Geloun, Reiko Toriumi

$U(N{)}^{\otimes r}\otimes O(N{)}^{\otimes q}$ invariants are constructed by contractions of complex tensors of order $r+q$, also denoted $(r,q)$. These tensors transform under $r$ fu…