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Canonical analysis of cosmological topologically massive gravity at the chiral point
Massachusetts Institute of Technology.
Massachusetts Institute of Technology.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Division of Theoretical Physics.
(English)Manuscript (Other academic)
Abstract [en]

Wolfgang Kummer was a pioneer of two-dimensional gravity and a strong advocate of the first order formulation in terms of Cartan variables. In the present work we apply Wolfgang Kummer's philosophy, the `Vienna School approach', to a specific three-dimensional model of gravity, cosmological topologically massive gravity at the chiral point. Exploiting a new Chern-Simons representation we perform a canonical analysis. The dimension of the physical phase space is two per point, and thus the theory exhibits a local physical degree of freedom, the topologically massive graviton.

National Category
Other Physics Topics
Research subject
Physics
Identifiers
URN: urn:nbn:se:uu:diva-100501OAI: oai:DiVA.org:uu-100501DiVA: diva2:210388
Available from: 2009-04-01 Created: 2009-04-01 Last updated: 2010-01-14
In thesis
1. Making Maps and Keeping Logs: Quantum Gravity from Classical Viewpoints
Open this publication in new window or tab >>Making Maps and Keeping Logs: Quantum Gravity from Classical Viewpoints
2009 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

This thesis explores three different aspects of quantum gravity. First we study D3-brane black holes in Calabi-Yau compactifications of type IIB string theory. Using the OSV conjecture and a relation between topological strings and matrix models we show that some black holes have a matrix model description. This is the case if the attractor mechanism fixes the internal geometry to a conifold at the black hole horizon. We also consider black holes in a flux compactification and compare the effects of the black holes and fluxes on the internal geometry. We find that the fluxes dominate. Second, we study the scalar potential of type IIB flux compactifications. We demonstrate that monodromies of the internal geometry imply as a general feature the existence of long series of continuously connected minima. This allows for the embedding of scenarios such as chain inflation and resonance tunneling into string theory. The concept of monodromies is also extended to include geometric transitions: passing to a different Calabi-Yau topology, performing its monodromies and then returning to the original space allows for novel transformations. All constructions are performed explicitly, using both analytical and numerical techniques, in the mirror quintic Calabi-Yau. Third, we study cosmological topologically massive gravity at the chiral point, a prime candidate for quantization of gravity in three dimensions. The prospects of this scenario depend crucially of the stability of the theory. We demonstrate the presence of a negative energy bulk mode that grows logarithmically toward the AdS boundary. The AdS isometry generators have non-unitary matrix representations like in logarithmic CFT, and we propose that the CFT dual for this theory is logarithmic. In a complementing canonical analysis we also demonstrate the existence of this bulk degree of freedom, and we present consistent boundary conditions encompassing the new mode.

Place, publisher, year, edition, pages
Uppsala: Acta Universitatis Upsaliensis, 2009. 140 p.
Series
Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, ISSN 1651-6214 ; 638
Keyword
String theory, black holes in string theory, Calabi-Yau geometry, flux compactifications, three-dimensional gravity
National Category
Other Physics Topics
Research subject
Theoretical Physics
Identifiers
urn:nbn:se:uu:diva-100504 (URN)978-91-554-7510-9 (ISBN)
Public defence
2009-05-20, Polhemsalen, Ångström Laboratory, Lägerhyddsvägen 1, Uppsala, 13:15 (English)
Opponent
Supervisors
Available from: 2009-04-28 Created: 2009-04-01 Last updated: 2009-04-30Bibliographically approved

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http://arxiv.org/abs/0806.4185

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Johansson, Niklas

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