## The Landscape of Free Fermionic Gauge ModelsIn this thesis, the author describes the development of a software framework to systematically construct a particular class of weakly coupled free fermionic heterotic string models, dubbed gauge models. In their purest form, these models are maximally supersymmetric (N = 4), and thus only contain superpartners in their matter sector. This feature makes their systematic construction particularly efficient, and they are thus useful in their simplicity. The thesis first provides a brisk introduction to heterotic strings and the spin-structure construction of free fermionic models. Three systematic surveys are then presented, and it is conjectured that these surveys are exhaustive modulo redundancies. Finally, the author presents a collection of metaheuristic algorithms for searching the landscape for models with a user-specified spectrum of phenomenological properties, e.g. gauge group and number of spacetime supersymmetries. Such algorithms provide the groundwork for extended generic free fermionic surveys. |

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### Contents

1 | |

2 Introduction to Superstrings | 8 |

3 Heterotic Strings and the Free Fermionic Construction | 35 |

4 Surveys of Gauge Models | 47 |

5 Landscape Surveys Through Metaheuristic Algorithms | 67 |

A The Gauge Framework | 79 |

B Layer One Statistics | 87 |

Curriculum Vitae | 99 |

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### Common terms and phrases

algebra basis vectors bestenergy BRST Cleaver closed string coefficients combination of gauge conformal anomaly conformal dimension conformal invariance construction discussion Douglas Moore energy function ensure Faraggi Fermionic Gauge Models fermionic heterotic string flat directions Free Fermionic Gauge free fermionic heterotic FSU5 gauge fixing Gauge Framework gauge group ghost number gravitino group factors groups is tabulated GSO projection input Landscape of Free landscape surveys left-moving Lett metaheuristic metaheuristic algorithms minimal superstring standard modes modular invariance N D 0 models N D Nmax Nanopoulos neighbor non-SUSY models Nucl number of models number of spacetime one-loop operator optimal partition function phenomenology Phys physical redundancy right-moving Sect simulated annealing solution spacetime spacetime dimensions stress-energy tensor string landscape string model building string theory structure superstring standard model supersymmetry symmetry systematic tabulated N D unique models unique N D vacua WCFFHS worldsheet worldsheet fermions