SU(N) global gauge anomalies in even dimensions

Journal Article · Tue Mar 15 04:00:00 EST 1988 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.37.1655· OSTI ID:5422641

Okubo, S; Zhang, H; Tosa, Y; Marshak, R E

Assuming that the representations of the SU(N) (N = n,n-1) gauge groups in (D = 2n)-dimensional space are chosen to be free of local (perturbative) anomalies, i.e., Tr F/sup n//sup +1/ = 0, the following is proved by group theory: (1) For SU(n), there will be no global (nonperturbative) gauge anomalies in D = 4k+2 and at most Z/sub 2/ global anomalies in D = 4k and (2) for SU(n-1), there exist no global gauge anomalies if D = 2ngreater than or equal to6. The topological argument is given for why, for any gauge group, the global anomaly is at most Z/sub 2/ and in D = 4k+2 no global gauge anomalies exist for a self-contragredient representation.

• Research Organization: Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627
• OSTI ID: 5422641
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 37:6; ISSN PRVDA
• Country of Publication: United States
• Language: English

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