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Heterotic strings on \(G_{2}\) orbifolds. (English) Zbl 1294.81194

Summary: We study compactification of heterotic strings to three dimensions on orbifolds of \(G_{2}\) holonomy. We consider the standard embedding and show that the gauge group is broken from \(E_{8} \times E_{8}^{\prime}\) or SO(32) to \(F_{4} \times E_{8}^{\prime}\) or SO(25) respectively. We also compute the spectrum of massless states and compare with the results obtained from reduction of the 10-dimensional fields. Non-standard embeddings are discussed briefly. For type II compactifications we verify that IIB and IIA have equal massless spectrum.

MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81T60 Supersymmetric field theories in quantum mechanics
55N32 Orbifold cohomology
81T13 Yang-Mills and other gauge theories in quantum field theory
81R40 Symmetry breaking in quantum theory
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