Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2023/iii/paper-307/3/ii-2/solution

For , the gauge-invariant chiral fields are the four mesons and the baryons
Classically they obey
up to the sign chosen in the definitions. No ordinary superpotential has the required R-charge. Nonperturbative dynamics instead produces the quantum-deformed moduli space
The right-hand side has exactly the axial charge, dimension and other symmetry properties required to deform the classical relation.

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