Compactifications of Heterotic Theory on Non-Kahler Complex Manifolds: I

Details Compactifications of Heterotic Theory on Non-Kahler Complex Manifolds: I Compactifications of Heterotic Theory on Non-Kahler Complex Manifolds: I

2003-01-21

arxiv.org/abs/hep-th/0301161v3

JHEP 0304:007,2003

Physics

High Energy Physics

High Energy Physics - Theory

75 pages, Harvmac, no figures; v2: Some new results added, typos corrected and references updated. Final version to appear in

Scientific paper

10.1088/1126-6708/2003/04/007

We study new compactifications of the SO(32) heterotic string theory on compact complex non-Kahler manifolds. These manifolds have many interesting features like fewer moduli, torsional constraints, vanishing Euler character and vanishing first Chern class, which make the four-dimensional theory phenomenologically attractive. We take a particular compact example studied earlier and determine various geometrical properties of it. In particular we calculate the warp factor and study the sigma model description of strings propagating on these backgrounds. The anomaly cancellation condition and enhanced gauge symmetry are shown to arise naturally in this framework, if one considers the effect of singularities carefully. We then give a detailed mathematical analysis of these manifolds and construct a large class of them. The existence of a holomorphic (3,0) form is important for the construction. We clarify some of the topological properties of these manifolds and evaluate the Betti numbers. We also determine the superpotential and argue that the radial modulus of these manifolds can actually be stabilized.

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