Classification of standard-like heterotic-string vacua

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 10 7 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. * alon.faraggi@liv.ac.uk † irizos@uoi.gr ‡ Hasan.Sonmez@liv.ac.uk

GUT precursors and entwined SUSY: The phenomenology of stable nonsupersymmetric strings

“…[7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]). This growing literature indicates an increasing interest in this subject, presumably motivated not only by the apparent experimental absence of supersymmetry at the Large Hadron Collider but also by the intrinsically different theoretical behavior of strings within this hitherto largely unexplored region of the string landscape.…”

Wilsonian dark matter in string derived Z′ model

“…More specifically, the state which is missing is the SU(3) C × SU(2) L × U(1) Y singlet in the 16 representation of SO (10). A scan of a large space of similar standard-like vacua may reveal the existence of models that do include the required states [11]. However, baring these new constructions, the string derived model that we discuss in this paper provides the first concrete example that realises the Wilsonian Standard Model singlet dark matter scenario.…”

Niemeier Lattices in the Free Fermionic Heterotic–String Formulation

“…Using the methods developed in [16][17][18][19][20][21][22][23] for the classification of free fermionic models, a selfdual model under the spinor-vector duality is fished from the landscape of vacua. The unbroken gauge symmetry at the string level is (10) × (1) , but the spectrum is selfdual under the exchange of the total number of spinorial 16 ⊕ 16 and vectorial 10 representations.…”