Quantum consistency requires cancellation of the $SU(N)^3$ <gauge anomaly>. The two-index <symmetric square> has <cubic anomaly coefficient> $A(S)=N+4$, whereas each antifundamental has coefficient $-1$. Therefore
$$
\boxed{p=N+4}.
$$

Solution

Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 307 / 4 / i / Solution

 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2023/iii/paper-307/4/i/solution