Chern-Simons terms in four-dimensional heterotic string theory

Journal Article · Sun Oct 15 04:00:00 EDT 1989 · Physical Review (Section) D: Particles and Fields; (USA)

DOI:https://doi.org/10.1103/PhysRevD.40.2636· OSTI ID:5286032

Das, A ^[1]; Maharana, J ^[2]; Roy, S ^[3]

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1. Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627 (US)
2. Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510
3. Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627

We consider a four-dimensional heterotic string theory whose massless states are the {ital N}=4 supergravity multiplet and the gauge multiplet of SO(44). The string is coupled to the gauge background maintaining the world-sheet supersymmetry. It is found that the non-Abelian gauge current conservation becomes anomalous at the quantum level. The anomalies, however, can be eliminated by requiring the antisymmetric tensor field to transform nontrivially under the gauge transformation. This, in turn, introduces a Chern-Simons term in the definition of the corresponding field strength for it to be gauge invariant.

• DOE Contract Number: AC02-76ER13065
• OSTI ID: 5286032
• Journal Information: Physical Review (Section) D: Particles and Fields; (USA), Journal Name: Physical Review (Section) D: Particles and Fields; (USA) Vol. 40:8; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUNDARY CONDITIONS
COMPOSITE MODELS
ELEMENTARY PARTICLES
EXTENDED PARTICLE MODEL
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
LIE GROUPS
MASSLESS PARTICLES
MATHEMATICAL MODELS
PARTICLE MODELS
QUARK MODEL
SO GROUPS
STRING MODELS
SUPERGRAVITY
SUPERSYMMETRY
SYMMETRY
SYMMETRY GROUPS
TENSOR FORCES
UNIFIED-FIELD THEORIES
YANG-MILLS THEORY