Global gauge anomalies for simple Lie algebras

Journal Article · Sun May 15 04:00:00 EDT 1988 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.37.2946· OSTI ID:5159787

Zhang, H; Okubo, S; Tosa, Y

We generalize the formula by Elitzur and Nair on the global-anomaly coefficients in even (D = 2n)-dimensional space and analyze global anomalies for Sp(2N), SO(N), and SU(N) groups. In particular, we show that any irreducible representation of any Sp(N) and SU(2) group has no global anomalies in D = 8k dimensions. In D = 8k+4 dimensions, SU(2) has Z/sub 2/-type global anomalies only if the spin J of an irreducible representation has the form J = (12(1+4l) = 1)2, (52,9)2,... For any SU(N) group in D = 2n, the global-anomaly coefficients can be expressed in terms of so-called unstable James numbers of Stiefel manifold SU(n+1)SU(n-k) and generalized Dynkin indices Q/sub n/..mu../sub 1/(..omega..) for SU(n+1)

• Research Organization: Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627
• OSTI ID: 5159787
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 37:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645300* -- High Energy Physics-- Particle Invariance Principles & Symmetries
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
CHIRALITY
FERMIONS
GAUGE INVARIANCE
GLOBAL ANALYSIS
INVARIANCE PRINCIPLES
IRREDUCIBLE REPRESENTATIONS
LIE GROUPS
MANY-DIMENSIONAL CALCULATIONS
MATHEMATICS
MULTIPLICITY
PARTICLE PROPERTIES
SO GROUPS
SP GROUPS
SPIN
SPINORS
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS