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Pierced, Wrapped and Torn: Aspects of String Theory Compactifications
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2009 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

An outstanding problem in physics is to find a unified framework for quantum mechanics and general relativity. This is required for a better understanding of black holes and the early cosmology of the universe. String theory provides such a unification. In this thesis, we study aspects of compactifications of type IIB string theory. In the first part of the thesis, we study four-dimensional black holes consisting of D3-branes wrapping cycles in the compact dimensions. We discuss the correspondence between these black holes, topological string theory and matrix models. We then study the influence of black holes on the stability of flux compactifications. In the second part of the thesis, we turn to investigations of the type IIB landscape, i.e. the collection of stable and metastable vacua obtained from flux compactifications on conformal Calabi-Yau manifolds. We show that monodromies are important for the topographic structure of the landscape. In particular we find that there are long series of continuously connected vacua in the complex structure moduli space of the internal manifold. We also use geometric transitions to connect the moduli spaces of different manifolds, and create longer series of vacua. Finally, we investigate the stability of string theory vacua by constructing semiclassical instantons. These results have implications for the population of the landscape by eternal inflation.

Place, publisher, year, edition, pages
Uppsala: Acta Universitatis Upsaliensis , 2009. , p. 134
Series
Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, ISSN 1651-6214 ; 632
National Category
Other Physics Topics
Research subject
Theoretical Physics
Identifiers
URN: urn:nbn:se:uu:diva-100503ISBN: 978-91-554-7494-2 (print)OAI: oai:DiVA.org:uu-100503DiVA, id: diva2:210432
Public defence
2009-05-15, Häggsalen, Ångströmlaboratoriet, Lägerhyddsvägen 1, Uppsala, 09:15 (English)
Opponent
Supervisors
Available from: 2009-04-24 Created: 2009-04-01 Last updated: 2009-05-11Bibliographically approved
List of papers
1. Deforming, revolving and resolving: New paths in the string theory landscape
Open this publication in new window or tab >>Deforming, revolving and resolving: New paths in the string theory landscape
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2008 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, Vol. 02, article id 016Article in journal (Refereed) Published
Abstract [en]

In this paper we investigate the properties of series of vacua in the string theory landscape. In particular, we study minima to the flux potential in type IIB compactifications on the mirror quintic. Using geometric transitions, we embed its one-dimensional complex structure moduli space in that of another Calabi-Yau with h1,1 = 86 and h2,1 = 2. We then show how to construct infinite series of continuously connected minima to the mirror quintic potential by moving into this larger moduli space, applying its monodromies, and moving back. We provide an example of such series, and discuss their implications for the string theory landscape

Keywords
Superstring Vacua, Flux compactifications
National Category
Physical Sciences
Research subject
Theoretical Physics
Identifiers
urn:nbn:se:uu:diva-100502 (URN)10.1088/1126-6708/2008/02/016 (DOI)000254764400096 ()
Available from: 2009-04-01 Created: 2009-04-01 Last updated: 2017-12-13Bibliographically approved
2. The world next door: Results in landscape topography
Open this publication in new window or tab >>The world next door: Results in landscape topography
2007 (Swedish)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, Vol. 03, p. 080-Article in journal (Refereed) Published
Abstract [en]

Recently, it has become clear that neighboring multiple vacua might have interesting consequences for the physics of the early universe. In this paper we investigate the topography of the string landscape corresponding to complex structure moduli of flux compactified type IIB string theory. We find that series of continuously connected vacua are common. The properties of these series are described, and we relate the existence of infinite series of minima to certain unresolved mathematical problems in group theory. Numerical studies of the mirror quintic serve as illustrating examples.

Keywords
Superstring Vacua, Flux compactifications, dS vacua in string theory
National Category
Physical Sciences
Identifiers
urn:nbn:se:uu:diva-13761 (URN)10.1088/1126-6708/2007/03/080 (DOI)000245922000080 ()
Available from: 2008-01-25 Created: 2008-01-25 Last updated: 2017-12-11Bibliographically approved
3. Stability of flux vacua in the presence of charged black
Open this publication in new window or tab >>Stability of flux vacua in the presence of charged black
2006 (English)In: JHEP, Vol. 09, p. 069-Article in journal (Refereed) Published
Abstract [en]

In this letter we consider a charged black hole in a flux compactification of type IIB string theory. Both the black hole and the fluxes will induce potentials for the complex structure moduli. We choose the compact dimensions to be described locally by a deformed conifold, creating a large hierarchy. We demonstrate that the presence of a black hole typically will not change the minimum of the moduli potential in a substantial way. However, we also point out a couple of possible loop-holes, which in some cases could lead to interesting physical consequences such as changes in the hierarchy.

Identifiers
urn:nbn:se:uu:diva-20261 (URN)
Available from: 2006-12-06 Created: 2006-12-06 Last updated: 2011-01-11
4. 4D black holes and holomorphic factorization of the 0A matrix model
Open this publication in new window or tab >>4D black holes and holomorphic factorization of the 0A matrix model
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2005 (English)In: Journal of High Energy Physics, Vol. 0510, p. 046-Article in journal (Refereed) Published
Abstract [en]

n this letter, we relate the free energy of the 0A matrix model to the sum of topological and anti-topological string amplitudes. For arbitrary integer multiples of the matrix model self-dual radius we describe the geometry on which the corresponding topological string propagates. This geometry is not the one that follows from the usual ground ring analysis, but in a sense its "holomorphic square root". Mixing of terms for different genus in the matrix model free energy yields one-loop terms compatible with type II strings on compact Calabi-Yau target spaces. As an application, we give an explicit example of how to relate the 0A matrix model free energy to that of a four-dimensional black hole in type IIB theory, compactified on a compact Calabi-Yau. Variables, Legendre transforms, and large classical terms on both sides match perfectly.

Identifiers
urn:nbn:se:uu:diva-79421 (URN)
Available from: 2006-04-10 Created: 2006-04-10 Last updated: 2011-01-11
5. Field dynamics and tunneling in a flux landscape
Open this publication in new window or tab >>Field dynamics and tunneling in a flux landscape
2008 (English)In: Physical Review D. Particles and fields, ISSN 0556-2821, E-ISSN 1089-4918, Vol. 78, no 8, p. 0835341-08353423Article in journal (Refereed) Published
Place, publisher, year, edition, pages
American Physical Society, 2008
National Category
Other Physics Topics
Research subject
Physics
Identifiers
urn:nbn:se:uu:diva-100308 (URN)10.1103/PhysRevD.78.083534 (DOI)
Available from: 2009-03-30 Created: 2009-03-30 Last updated: 2017-12-13Bibliographically approved
6. Obstacle to populating the string theory landscape
Open this publication in new window or tab >>Obstacle to populating the string theory landscape
2008 (English)In: Physical Review D. Particles and fields, ISSN 0556-2821, E-ISSN 1089-4918, Vol. 78, no 12, p. 1235131-1235135Article in journal (Refereed) Published
Abstract [en]

We construct domain walls and instantons in a class of models with coupled scalar fields, determining, in agreement with previous studies, that many such solutions contain naked timelike singularities. Vacuum bubble solutions of this type do not contain a region of true vacuum, obstructing the ability of eternal inflation to populate other vacua. We determine a criterion that potentials must satisfy to avoid the existence of such singularities and show that many domain wall solutions in type IIB string theory are singular.

Place, publisher, year, edition, pages
American Physical Society, 2008
National Category
Physical Sciences
Research subject
Theoretical Physics
Identifiers
urn:nbn:se:uu:diva-100500 (URN)10.1103/PhysRevD.78.123513 (DOI)
Available from: 2009-04-01 Created: 2009-04-01 Last updated: 2017-12-13Bibliographically approved

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