摘要: Using the FS and HST versions of free N = 4 matter multiplet (O4, (1/2)4), we construct two SU(2) conformal superfield models. The corresponding conserved currents are given. We find that no Liouville model exists as long KM symmetry is manifestly preserved. However allowing an explicit breaking subsymmetry algebra down to U(1) KM, obtain a Feigin–Fuchs extension supercurrent showing theory its Toda generalizations could exist. Quantization anomaly studied.