Construction of four-dimensional strings

Journal Article · Mon Jan 15 04:00:00 EST 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.41.492· OSTI ID:6964988

Gannon, T ^[1]; Lam, C S ^[2]

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1. Mathematics Department, McGill University, Montreal, Quebec, Canada H3A 2T8 (CA)
2. Physics Department, McGill University, Montreal, Quebec, Canada H3A 2T8 (CA)

A systematic study of the general properties of four-dimensional heterotic strings is carried out. These are strings constructed from (22;10) self-dual lattices. The constraints from supercurrent, chirality, and spacetime supersymmetry are discussed. Each of them helps to nail down the self-dual lattice constructed by the gluing method. Eleven general theorems are proved in Sec. IV, on the existence or absence of tachyons, adjoint-representation Higgs particles, higher-spin massless objects, and possible gauge groups in the theory. The questions of chirality and shadow matter are also investigated. For example, it is shown that a string containing the standard-model group and one generation of fermions, as well as 16 dimensions of shadow matter, is necessarily nonchiral no matter how many generations of fermions or what kinds of Higgs particles are present. The theorems proved in this paper are for a specific choice of the supercurrent, that which is used in the {bold Z}{sub 3} orbifold, though similar theorems can be proved for other supercurrents.

• OSTI ID: 6964988
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 41:2; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRALITY
COMPOSITE MODELS
DUALITY
ELEMENTARY PARTICLES
EXTENDED PARTICLE MODEL
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
GRAND UNIFIED THEORY
HIGGS BOSONS
LATTICE FIELD THEORY
MATHEMATICAL MODELS
PARTICLE MODELS
PARTICLE PROPERTIES
POSTULATED PARTICLES
QUANTUM FIELD THEORY
QUARK MODEL
SPACE-TIME
STANDARD MODEL
STRING MODELS
SUPERSYMMETRY
SYMMETRY
SYMMETRY BREAKING
TACHYONS
UNIFIED GAUGE MODELS
UNIFIED-FIELD THEORIES