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MODELS OF PARTICLE PHYSICS FROM TYPE IIB STRING THEORY AND FTHEORY: A REVIEW
, 2012
"... We review particle physics model building in type IIB string theory and Ftheory. This is a region in the landscape where in principle many of the key ingredients required for a realistic model of particle physics can be combined successfully. We begin by reviewing moduli stabilisation within this f ..."
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We review particle physics model building in type IIB string theory and Ftheory. This is a region in the landscape where in principle many of the key ingredients required for a realistic model of particle physics can be combined successfully. We begin by reviewing moduli stabilisation within this framework and its implications for supersymmetry breaking. We then review model building tools and developments in the weakly coupled type IIB limit, for both local D3branes at singularities and global models of intersecting D7branes. Much of recent model building work has been in the strongly coupled regime of Ftheory due to the presence of exceptional symmetries which allow for the construction of phenomenologically appealing Grand Unified Theories. We review both local and global Ftheory model building starting from the fundamental concepts and tools regarding how the gauge group, matter sector and operators arise, and ranging to detailed phenomenological properties explored in the literature.
The Tate Form on Steroids: Resolution and Higher Codimension Fibers,” arXiv:1212.2949 [hepth
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A new CY elliptic fibration and tadpole cancellation
 JHEP 1110, 031 (2011) [arXiv:1107.3589 [hepth
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Tate Trees for Elliptic Fibrations with Rank one MordellWeil group
"... U(1) symmetries play a central role in constructing phenomenologically viable Ftheory compactifications that realize Grand Unified Theories (GUTs). In Ftheory, gauge symmetries with abelian gauge factors are modeled by singular elliptic fibrations with additional rational sections, i.e. a nontri ..."
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U(1) symmetries play a central role in constructing phenomenologically viable Ftheory compactifications that realize Grand Unified Theories (GUTs). In Ftheory, gauge symmetries with abelian gauge factors are modeled by singular elliptic fibrations with additional rational sections, i.e. a nontrivial MordellWeil rank. To determine the full scope of possible low energy theories with abelian gauge factors, which allow for an Ftheory realization, it is central to obtain a comprehensive list of all singular elliptic fibrations with extra sections. We answer this question for the case of one abelian factor by applying Tate’s algorithm to the elliptic fiber realized as a quartic in the weighted projective space P(1,1,2), which guarantees, in addition to the zero section, the existence of an additional rational section. The algorithm gives rise to a treelike enhancement structure, where each fiber is characterized by a Kodaira fiber type, that governs the nonabelian gauge factor, and the separation of the two sections. We determine Tatelike forms for elliptic fibrations with one extra section for all Kodaira fiber types. In addition to standard Tate forms that are determined by the vanishing order of the coefficient sections in the quartic (socalled canonical models), the algorithm also gives rise to fibrations that require nontrivial relations among the coefficient sections. Such noncanonical models have phenomenologically interesting properties, as they allow for a richer charged matter content, and thus codimension two fiber structure, than the canonical models that have been considered thus far in the literature. As an application we determine the complete set of codimension one fibers types, matter spectra, both canonical and noncanonical, for SU(5) × U(1) models. ar X iv
the University of Liverpool for the degree of Doctor in Philosophy
"... Thesis submitted in accordance with the requirements of ..."
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