<> "The repository administrator has not yet configured an RDF license."^^ . <> . . "Discrete Structures in F-theory Compactifications"^^ . "In this thesis we study global properties of F-theory compactifications on elliptically and genus-one\r\nfibered Calabi-Yau varieties. This is motivated by phenomenological considerations as well as by\r\nthe need for a deeper understanding of the set of consistent F-theory vacua. The global geometric\r\nfeatures arise from discrete and arithmetic structures in the torus fiber and can be studied in detail\r\nfor fibrations over generic bases.\r\nIn the case of elliptic fibrations we study the role of the torsion subgroup of the Mordell-Weil\r\ngroup of sections in four dimensional compactifications. We show how the existence of a torsional\r\nsection restricts the admissible matter representations in the theory. This is shown to be equivalent\r\nto inducing a non-trivial fundamental group of the gauge group.\r\nCompactifying F-theory on genus-one fibrations with multisections gives rise to discrete selection\r\nrules. In field theory the discrete symmetry is a broken U(1) symmetry. In the geometry the higgsing\r\ncorresponds to a conifold transition. We explain in detail the origin of the discrete symmetry from\r\ntwo different M-theory phases and put the result into the context of torsion homology. Finally we\r\nsystematically construct consistent gauge \r\nuxes on genus-one fibrations and show that these induce\r\nan anomaly free chiral spectrum."^^ . "2016" . . . . . . . "Oskar"^^ . "Till"^^ . "Oskar Till"^^ . . . . . . "Discrete Structures in F-theory Compactifications (PDF)"^^ . . . "Till, O - Discrete Structures in F-theory Compactifications (thesis).pdf"^^ . . . "Discrete Structures in F-theory Compactifications (Other)"^^ . . . . . . "indexcodes.txt"^^ . . . "Discrete Structures in F-theory Compactifications (Other)"^^ . . . . . . "medium.jpg"^^ . . . "Discrete Structures in F-theory Compactifications (Other)"^^ . . . . . . "preview.jpg"^^ . . . "Discrete Structures in F-theory Compactifications (Other)"^^ . . . . . . "small.jpg"^^ . . . "Discrete Structures in F-theory Compactifications (Other)"^^ . . . . . . "lightbox.jpg"^^ . . "HTML Summary of #20672 \n\nDiscrete Structures in F-theory Compactifications\n\n" . "text/html" . . . "530 Physik"@de . "530 Physics"@en . .