Anomaly-free theories in D = 4k dimensions

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

DOI:https://doi.org/10.1103/PhysRevD.37.996· OSTI ID:5644074

Tosa, Y; Okubo, S

General constraints are found for local anomaly-free theories in D = 4k dimensions which yield chiral four-dimensional theories after compactification: (1) the Yang-Mills group must have a complex representation; (2) most odd-order traces vanish, i.e., TrF/sup 1/ = TrF/sup 3/ = ... = TrF/sup 2//sup k//sup -3/ = 0 and TrF/sup 2//sup k//sup +1/ = c TrF/sup 2//sup k//sup -1/ for D = 4k. Any complex representation of the SO(4l+2) group (lgreater than or equal tok+1 or l = k-1) in D = 4k satisfies the constraints. Other simple solutions are also given.

• Research Organization: Department of Physics, University of Colorado, Campus Box 390, Boulder, Colorado 80309
• OSTI ID: 5644074
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 37:4; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
CHIRAL SYMMETRY
FERMIONS
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
GRAVITATIONAL FIELDS
INVARIANCE PRINCIPLES
LIE GROUPS
PARTICLE PROPERTIES
SPIN
SUPERGRAVITY
SYMMETRY
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS
UNIFIED-FIELD THEORIES
YANG-MILLS THEORY