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

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

1992-12-09

arxiv.org/abs/hep-th/9212056v1

Phys.Lett. B301 (1993) 59-66

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/0370-2693(93)90721-S

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.

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