Phys. Rev. D 54, 7520–7544 (1996)

Asymmetric orbifolds and grand unification

Abstract

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Zurab Kakushadze^* and S. -H. Henry Tye^†
Newman Laboratory of Nuclear Studies, Cornell University, Ithaca, New York 14853-5001

Received 16 July 1996; published in the issue dated 15 December 1996

We generalize the rules for the free fermionic string construction to include other asymmetric orbifolds with world-sheet bosons. We use these rules to construct various grand unified string models that involve level-three current algebras. We present the explicit construction of three classes of three-chiral-family grand unified models in the heterotic string theory. Each model has five left-handed, and two right-handed families, and an adjoint Higgs representation. Two of them are SO(10) and the third is E₆. With Wilson lines and/or varying moduli, we show how other three-family grand unified models, such as SO(10) and SU(5), may be constructed from them.

URL:

http://link.aps.org/doi/10.1103/PhysRevD.54.7520

DOI:

10.1103/PhysRevD.54.7520

PACS:

11.25.Mj, 12.10.Dm

^*Present address: Lyman Laboratory, Harvard University, Cambridge, MA 02138. Electronic address: zurab@hepth.cornell.edu

^†Electronic address: tye@hepth.cornell.edu

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Phys. Rev. D 54, 7520–7544 (1996)

Asymmetric orbifolds and grand unification