Counting $U(N)^{\otimes r}\otimes O(N)^{\otimes q}$ invariants and
tensor model observables
Counting $U(N)^{\otimes r}\otimes O(N)^{\otimes q}$ invariants and
tensor model observables
$U(N)^{\otimes r} \otimes O(N)^{\otimes q}$ invariants are constructed by contractions of complex tensors of order $r+q$, also denoted $(r,q)$. These tensors transform under $r$ fundamental representations of the unitary group $U(N)$ and $q$ fundamental representations of the orthogonal group $O(N)$. Therefore, $U(N)^{\otimes r} \otimes O(N)^{\otimes q}$ invariants are tensor model …