Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 307 / 3 / ii / Solution

For $N_f=2$, the gauge-invariant chiral fields are the four mesons $M_i{}^j={\tilde{\Phi }}_i{\Phi }^j$ and the baryonsClassically they obeyup to the sign chosen in the definitions. No ordinary superpotential has the required R-charge. Nonperturbative dynamics instead produces the quantum-deformed moduli spaceThe right-hand side has exactly the axial charge, dimension and other symmetry properties required to deform the classical relation.