The Particle Spectrum of Heterotic Compactifications

Details The Particle Spectrum of Heterotic Compactifications The Particle Spectrum of Heterotic Compactifications

2004-05-03

arxiv.org/abs/hep-th/0405014v1

JHEP0412:054,2004

Physics

High Energy Physics

High Energy Physics - Theory

77 pages, 3 figures

Scientific paper

10.1088/1126-6708/2004/12/054

Techniques are presented for computing the cohomology of stable, holomorphic vector bundles over elliptically fibered Calabi-Yau threefolds. These cohomology groups explicitly determine the spectrum of the low energy, four-dimensional theory. Generic points in vector bundle moduli space manifest an identical spectrum. However, it is shown that on subsets of moduli space of co-dimension one or higher, the spectrum can abruptly jump to many different values. Both analytic and numerical data illustrating this phenomenon are presented. This result opens the possibility of tunneling or phase transitions between different particle spectra in the same heterotic compactification. In the course of this discussion, a classification of SU(5) GUT theories within a specific context is presented.

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