Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 307 / 3 / i

Table of contents
- Solution i

Solution

Normalize the cubic anomaly coefficient of the

S U (N)

fundamental to

+ 1

. The two-index antisymmetric representation has anomaly coefficient

N - 4

, while an antifundamental contributes

- 1

. Cancellation of the

S U (N)^{3}

gauge anomaly requires

(N - 4) - p = 0, p = N - 4 .

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