The Landscape of Free Fermionic Gauge Models

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Springer, Feb 3, 2016 - Science - 102 pages
In 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 Introduction
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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About the author (2016)

Dr Douglas Moore is currently with the University of Texas Southwestern Medical Center, having gained his Ph.D. at Baylor University in 2014.

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