Abelian gauge symmetries in Ftheory and dual theories / Peng Song.
 Production:
 [Philadelphia, Pennsylvania] : University of Pennsylvania, 2016.
 Format/Description:
 Thesis/Dissertation
Book
xvi, 233 leaves : illustrations ; 29 cm  Local subjects:
 Penn dissertations  Physics and astronomy.
Physics and astronomy  Penn dissertations.  Summary:
 In this dissertation, we focus on important physical and mathematical aspects, especially abelian gauge symmetries, of Ftheory compactifications and its dual formulations within type IIB and heterotic string theory.
Ftheory is a nonperturbative formulation of type IIB string theory which enjoys important dualities with other string theories such as Mtheory and E8 × E8 heterotic string theory. One of the main strengths of Ftheory is its geometrization of many physical problems in the dual string theories. In particular, its study requires a lot of mathematical tools such as advanced techniques in algebraic geometry. Thus, it has also received a lot of interests among mathematicians, and is a vivid area of research within both the physics and the mathematics community. Although Ftheory has been a longstanding theory, abelian gauge symmetry in Ftheory has been rarely studied, until recently. Within the mathematics community, in 2009, Grassi and Perduca first discovered the possibility of constructing elliptically fibered varieties with nontrivial toric MordellWeil group. In the physics community, in 2012, Morrison and Park first made a major advancement by constructing general Ftheory compactifications with U(1) abelian gauge symmetry. They found that in such cases, the ellipticallyfibered CalabiYau manifold that Ftheory needs to be compactified on has its fiber being a generic elliptic curve in the blowup of the weighted projective space P(1;1;2) at one point. Subsequent developments have been made by Cvetič, Klevers and Piragua extended the works of Morrison and Park and constructed general Ftheory compactifications with U(1) × U(1) abelian gauge symmetry. They found that in the U(1) × U(1) abelian gauge symmetry case, the ellipticallyfibered CalabiYau manifold that Ftheory needs to be compactified on has its fiber being a generic elliptic curve in the del Pezzo surface dP2. In chapter 2 of this dissertation, I bring this a step further by constructing general Ftheory compactifications with U(1) × U(1) × U(1) abelian gauge symmetry.
In chapter 1 of this dissertation, I proved finiteness of a region of the string landscape in Type IIB compactifications. String compactifications give rise to a collection of effective low energy theories, known as the string landscape. In chapter 3 of this dissertation, I study abelian gauge symmetries in the duality between Ftheory and E8 × E8 heterotic string theory. However, how abelian gauge symmetries can arise in the dual heterotic string theory has never been studied. The main goal of this chapter is to study exactly this. We start with Ftheory compactifications with abelian gauge symmetry. With the help of a mathematical lemma as well as a computer code that I came up with, I was able to construct a rich list of specialized examples with specific abelian and nonabelian gauge groups on the Ftheory side.  Notes:
 Ph. D. University of Pennsylvania 2016.
Department: Physics and astronomy.
Supervisor: Mirjam Cvetic.
Includes bibliographical references.  Contributor:
 Cvetic, Mirjam, degree supervisor.
Grassi, Antonella, degree committee member.
Lipeles, Elliot, degree committee member.
Nelson, Philip, degree committee member.
Thomson, Evelyn, degree committee member.
University of Pennsylvania. Department of Physics and astronomy, degree granting institution.  ISBN:
 9781369340082
 OCLC:
 969572394

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