Role of modular invariance in evaluation of gauge and gravitational anomalies in the heterotic-string theory

Journal Article · Mon Oct 06 04:00:00 EDT 1986 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.57.1665· OSTI ID:5237945

Suzuki, H; Sugamoto, A

It is known that anomalies can be expressed as a quantity in a short-time limit of the proper time (Schwinger parameter) in point-particle field theories. A natural extension of these expressions for the anomalies is given in the heterotic-string theory. It is shown that the gauge and gravitational anomalies in the heterotic-string theory can be expressed as a surface integral over the Schwinger parameter. The modular invariance of hexagon anomalies allows us to restrict the region of integration to the boundary of the fundamental region. This invariance also shows that the surface integral vanishes, i.e., hexagon gauge and gravitational anomalies are absent in the heterotic-string theory.

• Research Organization: National Laboratory for High Energy Physics (KEK), Tsukuba, Ibaraki 305 Japan
• OSTI ID: 5237945
• Journal Information: Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 57:14; ISSN PRLTA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
FIELD THEORIES
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
PARTICLE MODELS
PROPAGATOR
QUARK MODEL
SINGULARITY
STRING MODELS
UNIFIED-FIELD THEORIES