Generalized Green-Schwarz anomaly cancellation mechanism

Journal Article · Wed Mar 15 04:00:00 EST 1989 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.39.1648· OSTI ID:6188533

Tosa, Y

We show that the chiral anomaly can be canceled by a single antisymmetric tensor if the anomaly form factorizes into the product of two invariant polynomials of curvature two-forms, R and F. This generalizes the Green-Schwarz cancellation mechanism, where the factorization is of the form (TrR/sup 2/-TrF/sup 2/) times an invariant polynomial. The Yang-Mills group constraints differ from those obtained by the Green-Schwarz mechanism if the anomaly form is factorized differently and thus new anomaly-free theories emerge. This generalized mechanism works for any theories in D = 4k dimensions and nonsupergravity theories in D = 4k-2. However, for supergravity-type theories in D = 4k-2 only the original Green-Schwarz factorization works. We explicitly construct many anomaly-free theories in D = 8 and D = 10, using the generalized mechanism.

• Research Organization: Department of Physics, University of Colorado, Campus Box 390, Boulder, Colorado 80309
• OSTI ID: 6188533
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 39:6; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645300* -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
FIELD THEORIES
FORM FACTORS
FUNCTIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
PARTICLE MODELS
PARTICLE PROPERTIES
POLYNOMIALS
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STRING MODELS
SUPERGRAVITY
SUPERSYMMETRY
SYMMETRY
TENSORS
UNIFIED-FIELD THEORIES
YANG-MILLS THEORY