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

S. A. Frolov; A. A. Slavnov; C. Sochichiu

doi:10.1016/0370-2693(93)90721-S

paper

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

arXiv:hep-th/9212056 · doi:10.1016/0370-2693(93)90721-S

Abstract

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

9 pages, preprint PAR-LPTHE 92-48 (DECEMBER 1992), Latex