Free Fermionic Heterotic Model Building and Root Systems

Details Free Fermionic Heterotic Model Building and Root Systems Free Fermionic Heterotic Model Building and Root Systems

2008-09-30

arxiv.org/abs/0809.5094v1

Mod.Phys.Lett.A24:2703-2715,2009

Physics

High Energy Physics

High Energy Physics - Theory

Standard Latex, 12 pages

Scientific paper

10.1142/S0217732309031843

We consider an alternative derivation of the GSO Projection in the free fermionic construction of the weakly coupled heterotic string in terms of root systems, as well as the interpretation of the GSO Projection in this picture. We then present an algorithm to systematically and efficiently generate input sets (i.e. basis vectors) in order to study Landscape statistics with minimal computational cost. For example, the improvement at order 6 is approximately 10^{-13} over a traditional brute force approach, and improvement increases with order. We then consider an example of statistics on a relatively simple class of models.

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