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We obtain the general abnormal parity solutions of the Wess-Zumino consistency conditions for chiral SU(L)xSU(L) symmetry. We find an additional non-trivial solution which cannot be obtained from the usual Bardeen non-abelian anomaly through the addition of a local Lagrangian counter-term.

Abnormal Parity Solutions of the Wess-Zumino Consistency Conditions for Chiral SU(L)xSU(L) Symmetry