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Instability in cosmological topologically massive gravity at the chiral point
Center for Theoretical Physics, Massachusetts Institute of Technology.
Uppsala universitet, Teknisk-naturvetenskapliga vetenskapsområdet, Fysiska sektionen, Institutionen för fysik och astronomi, Teoretisk fysik.
2008 (engelsk)Inngår i: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, nr 7, s. 134-Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

We consider cosmological topologically massive gravity at the chiral point with positive sign of the Einstein-Hilbert term. We demonstrate the presence of a negative energy bulk mode that grows linearly in time. Unless there are physical reasons to discard this mode, this theory is unstable. To address this issue we prove that the mode is not pure gauge and that its negative energy is time-independent and finite. The isometry generators L0 and 0 have non-unitary matrix representations like in logarithmic CFT. While the new mode obeys boundary conditions that are slightly weaker than the ones by Brown and Henneaux, its fall-off behavior is compatible with spacetime being asymptotically AdS3. We employ holographic renormalization to show that the variational principle is well-defined. The corresponding Brown-York stress tensor coincides with that of global AdS3. Finally we address possibilities to eliminate the instability and prospects for chiral gravity.

sted, utgiver, år, opplag, sider
2008. nr 7, s. 134-
Emneord [en]
AdS-CFT Correspondence, Classical Theories of Gravity, Models of Quantum Gravity
HSV kategori
Forskningsprogram
fysik
Identifikatorer
URN: urn:nbn:se:uu:diva-100498DOI: 10.1088/1126-6708/2008/07/134ISI: 000258144100134OAI: oai:DiVA.org:uu-100498DiVA, id: diva2:210386
Tilgjengelig fra: 2009-04-01 Laget: 2009-04-01 Sist oppdatert: 2017-12-13bibliografisk kontrollert
Inngår i avhandling
1. Making Maps and Keeping Logs: Quantum Gravity from Classical Viewpoints
Åpne denne publikasjonen i ny fane eller vindu >>Making Maps and Keeping Logs: Quantum Gravity from Classical Viewpoints
2009 (engelsk)Doktoravhandling, med artikler (Annet vitenskapelig)
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.

sted, utgiver, år, opplag, sider
Uppsala: Acta Universitatis Upsaliensis, 2009. s. 140
Serie
Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, ISSN 1651-6214 ; 638
Emneord
String theory, black holes in string theory, Calabi-Yau geometry, flux compactifications, three-dimensional gravity
HSV kategori
Forskningsprogram
teoretisk fysik
Identifikatorer
urn:nbn:se:uu:diva-100504 (URN)978-91-554-7510-9 (ISBN)
Disputas
2009-05-20, Polhemsalen, Ångström Laboratory, Lägerhyddsvägen 1, Uppsala, 13:15 (engelsk)
Opponent
Veileder
Tilgjengelig fra: 2009-04-28 Laget: 2009-04-01 Sist oppdatert: 2009-04-30bibliografisk kontrollert

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