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[Phys. Rev. D 31, 3037 (1985)1 James H. Applegate and Craig J. Hogan In Fig. 3, both axes should be labeled as base-10 logarithms, not in natural logarithms as published. Erratum: Parallelizing torsion and anomalies [Phys. Rev. D 33, 2411 (1986)1 H. W. Braden In the discussion of normalizations following Eqs. (3.7)- (3.8) the values of n are incorrectly specified. Throughout the analysis of this paper g is taken to be a map from (extended) space-time to the group manifold G; thus g - ldg in (3.8) is to be thought of as in the adjoint representation of the Lie algebra of G. The values of n given in the text [namely, n E Z for SO(p) and n E 2Z for SU(p )] correspond to taking the fundamental representation. The difference between the two is given by Tradi - 12(ad) Trfund 120.fund) where 12(X) is the second Dynkin index of the representation X. We see then that the correct values of n should be n 1 2(Xadj) z 12 (fund ) for SO(p) and twice this for SU(p). This corrected value of n makes closer connection with the last cited reference of the paper and is in
Physical Review D – American Physical Society (APS)
Published: Sep 15, 1986
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