Abstract
We extend the free fermionic classification methodology to the class of standard-like heterotic-string vacua, in which the SO(10) GUT symmetry is broken at the string level to SU(3)×SU(2)×U(1)2. The space of GGSO free phase configurations in this case is vastly enlarged compared to the corresponding SO(6)×SO(4) and SU(5)×U(1) vacua. Extracting substantial numbers of phenomenologically viable models therefore requires a modification of the classification methods. This is achieved by identifying conditions on the GGSO projection coefficients, which are satisfied at the SO(10) level by random phase configurations, and that lead to three generation models with the SO(10) symmetry broken to the SU(3)×SU(2)×U(1)2 subgroup. Around each of these fertile SO(10) configurations, we perform a complete classification of standard-like models, by adding the SO(10) symmetry breaking basis vectors, and scanning all the associated GGSO phases. Following this methodology we are able to generate some 107 three generation Standard-like Models. We present the results of the classification and one exemplary model with distinct phenomenological properties, compared to previous SLM constructions.
Highlights
The free fermionic classification method was initially developed for type II superstring vacua in ref. [12]
In this paper we extend the classification methodology of free fermionic heterotic–string models to the case in which the SO(10) symmetry is broken to the SU(3) × SU(2) × U(1)2 standard–like model (SLM) subgroup
In the first instance we find that the space of a priori distinct vacua is increased to the order of 272 independent configurations as compared to 251 in the cases of the flipped SU(5) (FSU5) and PS free fermionic heterotic–string vacua
Summary
The free fermionic classification method was initially developed for type II superstring vacua in ref. [12]. In this paper we extend the classification methodology of free fermionic heterotic–string models to the case in which the SO(10) symmetry is broken to the SU(3) × SU(2) × U(1) standard–like model (SLM) subgroup. This class of vacua introduces several novel features. Around these pre–selected fertile configurations with SO(10) symmetry we perform a complete classification of the standard–like models by adding the two SO(10) breaking vectors and varying all the phases associated with the added basis vectors This method ensures that the number of viable three generation models is not too diluted and is accessible to the statistical sampling. Extension to nonsupersymmetric vacua [30] can be pursued and is left for future work
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