On the SO(N) symmetry of the chiral SU(N) Yang-Mills model

Abstract

The posibility of quantizing the anomalous SU(N) Yang?Mills model preserving the symmetry under the orthogonal subgroup is indicated. The corresponding Wess?Zumino action (1-cocycle) possesses the additional SO(N) symmetry and can be expressed in terms of chiral fields taking values in the homogeneous space SU(N)/SO(N). The modified anomaly and the constraints commutator (2-cocycle) are calculated.