Show simple item record

dc.rights.licenseCC-BY-NC-ND
dc.contributor.advisorGrimm, T.W.
dc.contributor.authorHassine, A.F. Ben
dc.date.accessioned2018-07-18T17:01:11Z
dc.date.available2018-07-18T17:01:11Z
dc.date.issued2018
dc.identifier.urihttps://studenttheses.uu.nl/handle/20.500.12932/29315
dc.description.abstractIn this work we analyze the Swampland Distance Conjecture for the field space of scalar fields, called the complex moduli, that arise in Calabi-Yau threefold compactifications. The Swampland Distance Conjecture states that at any infinite distance point in this moduli space an infinite tower of states will appear, rendering the effective 4D theory unphysical. This is very important when one attempts to realize inflation with a large field distance from string theory, as in essence this renders the complex moduli unable to be identified with the inflaton that causes this type of large field inflation. In this work we elucidate the above motivations for studying the Swampland Distance Conjecture, after which we connect the Swampland Distance Conjecture in physics to the mathematical Wang conjecture. For a moduli space with singularities encoded on subspaces called divisors the Wang conjecture states that the metric on the moduli space diverges if and only if the divisors have monodromies of infinite order. In a connection between infinite order monodromy matrices and infinite towers of states is postulated, bridging the gap between the Wang and Swampland Distance conjectures. Wang himself already showed that an infinite order monodromy is a necessary requirement for an infinite field distance to arise. In this work we study the mechanism behind the Swampland Distance Conjecture, by considering whether having such a monodromy is also a sufficient condition for the divergence of the field distance. We review a proof by Lee of specific cases of this sufficient condition of the Wang conjecture. The cases we revisit and clarify assume the singularity to be located on the intersection of up to two divisors. Finally we present a new result, by giving new criteria for the field distance to diverge, in the case of a singularity on one infinite and one finite divisor in two dimensions.
dc.description.sponsorshipUtrecht University
dc.format.extent2637274
dc.format.mimetypeapplication/pdf
dc.language.isoen
dc.titleInfinite distances in the moduli space of Calabi-Yau threefolds
dc.type.contentMaster Thesis
dc.rights.accessrightsOpen Access
dc.subject.keywordsTheoretical physics, wang conjecture, hodge theory, moduli space, type IIB, compactification, string theory, inflation, swampland distance conjecture
dc.subject.courseuuTheoretical Physics


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record