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Abstract: We extend the classification of free fermionic heterotic-string models tovacua in which the SO10 GUT symmetry is broken at the string level to thePati-Salam subgroup. Using our classification method we recently presented thefirst example of a quasi-realistic heterotic-string vacuum that is free ofmassless exotic states. Within this method we are able to derive algebraicexpressions for the generalised GSO projections for all sectors that appear inthe models. This facilitates the programming of the entire spectrum analysis ina computer code. The total number of vacua in the class of models that weclassify is 2^{51} ~ 10^{15}. We perform a statistical sampling in this spaceof models and extract 10^{11} distinct configurations with Pati-Salam gaugegroup. Our results demonstrate that one in every 10^{6} vacua correspond to athree generation exophobic model with the required Higgs states, needed toinduce spontaneous breaking to the Standard Model.

Autor: Benjamin Assel, Kyriakos Christodoulides, Alon E. Faraggi, Costas Kounnas, John Rizos


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