Chiral anomaly for V-A fields in four- and six-dimensional curved space
  The chiral U(1) anomalies associated with a fermion of spin 1/2 interacting with nonabelian vector and axial-vector fields in four- and six-dimensional curved space are given in tensorial form. 
S. Yajima, K. Eguchi, M. Fukuda, T. Oka, H. Taira, and S. Yamashita
hep-th