title: Discrete Structures in F-theory Compactifications
creator: Till, Oskar
subject: ddc-530
subject: 530 Physics
description: In this thesis we study global properties of F-theory compactifications on elliptically and genus-one  fibered Calabi-Yau varieties. This is motivated by phenomenological considerations as well as by  the need for a deeper understanding of the set of consistent F-theory vacua. The global geometric  features arise from discrete and arithmetic structures in the torus fiber and can be studied in detail  for fibrations over generic bases.  In the case of elliptic fibrations we study the role of the torsion subgroup of the Mordell-Weil  group of sections in four dimensional compactifications. We show how the existence of a torsional  section restricts the admissible matter representations in the theory. This is shown to be equivalent  to inducing a non-trivial fundamental group of the gauge group.  Compactifying F-theory on genus-one fibrations with multisections gives rise to discrete selection  rules. In field theory the discrete symmetry is a broken U(1) symmetry. In the geometry the higgsing  corresponds to a conifold transition. We explain in detail the origin of the discrete symmetry from  two different M-theory phases and put the result into the context of torsion homology. Finally we  systematically construct consistent gauge   uxes on genus-one fibrations and show that these induce  an anomaly free chiral spectrum.
date: 2016
type: Dissertation
type: info:eu-repo/semantics/doctoralThesis
type: NonPeerReviewed
format: application/pdf
identifier: https://archiv.ub.uni-heidelberg.de/volltextserverhttps://archiv.ub.uni-heidelberg.de/volltextserver/20672/1/Till%2C%20O%20-%20Discrete%20Structures%20in%20F-theory%20Compactifications%20%28thesis%29.pdf
identifier: DOI:10.11588/heidok.00020672
identifier: urn:nbn:de:bsz:16-heidok-206725
identifier:   Till, Oskar  (2016) Discrete Structures in F-theory Compactifications.  [Dissertation]     
relation: https://archiv.ub.uni-heidelberg.de/volltextserver/20672/
rights: info:eu-repo/semantics/openAccess
rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html
language: eng