Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-07-18
JHEP 0603:005,2006
Physics
High Energy Physics
High Energy Physics - Theory
32 pages, 3 figures
Scientific paper
10.1088/1126-6708/2006/03/005
In this paper we analyze the structure of supersymmetric vacua in compactifications of the heterotic string on certain manifolds with SU(3) structure. We first study the effective theories obtained from compactifications on half-flat manifolds and show that solutions which stabilise the moduli at acceptable values are hard to find. We then derive the effective theories associated with compactification on generalised half-flat manifolds. It is shown that these effective theories are consistent with four-dimensional N=1 supergravity and that the superpotential can be obtained by a Gukov-Vafa-Witten type formula. Within these generalised models, we find consistent supersymmetric (AdS) vacua at weak gauge coupling, provided we allow for general internal gauge bundles. In simple cases we perform a counting of such vacua and find that a fraction of about 1/1000 leads to a gauge coupling consistent with gauge unification.
Carlos Beatriz de
Gurrieri Sebastien
Lukas Andre
Micu Andrei
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