Instability in cosmological topologically massive gravity at the chiral point

By D. Grumiller, N. Johansson. 2008

271 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/b6b834a8c4179422189a94003df19e3c277ce18b

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Citations in the corpus

Chiral gravity, log gravity, and extremal CFT (2009, methodology): “6) be relaxed to allow metric fluctuations to grow linearly as ρ → ∞ [10].”
Massive Gravity (2014, background): “This case was further analyzed in [273], see also Ref.”
Massive 3D supergravity (2009, unknown): “the standard Brown–Henneaux boundary conditions [8], the usual graviton mode ceases to propagate in the bulk.”
Topologically Massive Gravity and the AdS/CFT Correspondence (2009, methodology): “From the transformation properties of the new mode of [5] under the (L0, L̄0) operators one found a structure typical of a logarithmic conformal field theory (LCFT) and consequently it was claimed that the theory with μ = 1 was dual to such a theory.”
Theoretical Aspects of Massive Gravity (2011, unknown): “For more on the subtleties, see [210, 211, 212, 213, 214].”
Warped AdS3 black holes (2008, background): “It was established [9] that if the theory can be consistently defined in this manner it is unstable, does not have a hermitian Hamiltonian, and is potentially dual to a logarithmic CFT.”
Bounding the space of holographic CFTs with chaos (2016, unknown): “[67,70–73], although ideally not packaged with acausality.”
Cosmological topologically massive gravitons and photons (2008, background): “Indeed, at the critical value μ = 1 these solutions behave logarithmically, much like the finite-energy solutions found in [20].”