Solution

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

Choose the flavor orientation in which each electric is a fundamental of . Its color components then give
In the magnetic theory, the eight Spin(8) components of transform in the antifundamental and contribute . The singlet transforms in the symmetric representation of , whose cubic anomaly coefficient is , while and are flavor singlets. Therefore
where was used. The two 't Hooft anomalies match, as required by Seiberg duality.

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