### Abstract

We extend the classification of free fermionic heterotic-string models to vacua in which the SO(10) GUT symmetry is broken at the string level to the Pati-Salam subgroup. Using our classification method we recently presented the first example of a quasi-realistic heterotic-string vacuum that is free of massless exotic states. Within this method we are able to derive algebraic expressions for the Generalised GSO (GGSO) projections for all sectors that appear in the models. This facilitates the programming of the entire spectrum analysis in a computer code. The total number of vacua in the class of models that we classify is 251~1015. We perform a statistical sampling in this space of models and extract 10^{11} GGSO configurations with Pati-Salam gauge group. Our results demonstrate that one in every 10^{6} vacua correspond to a three generation exophobic model with the required Higgs states, needed to induce spontaneous breaking to the Standard Model.

Language | English |
---|---|

Pages | 365-396 |

Number of pages | 32 |

Journal | Nuclear Physics B |

Volume | 844 |

Issue number | 3 |

Early online date | 13 Nov 2010 |

DOIs | |

Publication status | Published - 21 Mar 2011 |

Externally published | Yes |

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### Cite this

*Nuclear Physics B*,

*844*(3), 365-396. https://doi.org/10.1016/j.nuclphysb.2010.11.011

}

*Nuclear Physics B*, vol. 844, no. 3, pp. 365-396. https://doi.org/10.1016/j.nuclphysb.2010.11.011

**Classification of heterotic Pati-Salam models.** / Assel, Benjamin; Christodoulides, Kyriakos; Faraggi, Alon E.; Kounnas, Costas; Rizos, John.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Classification of heterotic Pati-Salam models

AU - Assel, Benjamin

AU - Christodoulides, Kyriakos

AU - Faraggi, Alon E.

AU - Kounnas, Costas

AU - Rizos, John

PY - 2011/3/21

Y1 - 2011/3/21

N2 - We extend the classification of free fermionic heterotic-string models to vacua in which the SO(10) GUT symmetry is broken at the string level to the Pati-Salam subgroup. Using our classification method we recently presented the first example of a quasi-realistic heterotic-string vacuum that is free of massless exotic states. Within this method we are able to derive algebraic expressions for the Generalised GSO (GGSO) projections for all sectors that appear in the models. This facilitates the programming of the entire spectrum analysis in a computer code. The total number of vacua in the class of models that we classify is 251~1015. We perform a statistical sampling in this space of models and extract 1011 GGSO configurations with Pati-Salam gauge group. Our results demonstrate that one in every 106 vacua correspond to a three generation exophobic model with the required Higgs states, needed to induce spontaneous breaking to the Standard Model.

AB - We extend the classification of free fermionic heterotic-string models to vacua in which the SO(10) GUT symmetry is broken at the string level to the Pati-Salam subgroup. Using our classification method we recently presented the first example of a quasi-realistic heterotic-string vacuum that is free of massless exotic states. Within this method we are able to derive algebraic expressions for the Generalised GSO (GGSO) projections for all sectors that appear in the models. This facilitates the programming of the entire spectrum analysis in a computer code. The total number of vacua in the class of models that we classify is 251~1015. We perform a statistical sampling in this space of models and extract 1011 GGSO configurations with Pati-Salam gauge group. Our results demonstrate that one in every 106 vacua correspond to a three generation exophobic model with the required Higgs states, needed to induce spontaneous breaking to the Standard Model.

KW - Fractionally charged states

KW - Heterotic-string

KW - Pati-Salam

UR - http://www.scopus.com/inward/record.url?scp=78650175990&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2010.11.011

DO - 10.1016/j.nuclphysb.2010.11.011

M3 - Article

VL - 844

SP - 365

EP - 396

JO - Nuclear Physics B

T2 - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 3

ER -