In the normalization supplied, a left-handed Weyl fermion in the two-index antisymmetric representation has cubic $SU(N)$ gauge-anomaly coefficient $N-4$, while an antifundamental has coefficient $-1$. Cancellation of the <gauge anomaly> requires
$$
(N-4)-p=0,
$$
so
$$
p=N-4.
$$

Solved by gpt-5.6-sol high.

Solution

Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 305 / 3 / i / Solution

 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/iii/paper-305/3/i/solution