Causality in AdS/CFT and Lovelock theory
By Xián O. Camanho, J. Edelstein. 2009
148 citations recorded by the source corpus.
We explore the constraints imposed on higher curvature corrections of the Lovelock type due to causality restrictions in the boundary of asymptotically AdS spacetime. In the framework of AdS/CFT, this is related to positivity of the energy constraints that arise in conformal collider physics. We present explicit analytic results that fully address these issues for cubic Lovelock gravity in arbitrary dimensions and give the formal analytic results that comprehend general Lovelock theory. The computations can be performed in two ways, both by considering a thermal setup in a black hole background and by studying the scattering of gravitons with a shock wave in AdS. We show that both computations coincide in Lovelock theory. The different helicities, as expected, provide the boundaries defining the region of allowed couplings. We generalize these results to arbitrary higher dimensions and discuss their consequences on the shear viscosity to energy density ratio of CFT plasmas, the possible existence of Boulware-Deser instabilities in Lovelock theory and the extent to which the AdS/CFT correspondence might be valid for arbitrary dimensions.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/2bdca97c5d181e84854abfef26014a34d97b6525
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Citations in the corpus
- On holographic entanglement entropy and higher curvature gravity (2011, unknown): “ [23]. Recently, there has been renewed interest in these theories in the context of the AdS/CFT correspondence. In particular, asymptotically AdS black hole solutions were found for Lovelock gravity [19, 24, 25]. These exact solutions then proved useful in discussions of holographic hydrodynamics a”
- Holographic Lovelock gravities and black holes (2009, result): “Note added. After we submitted our paper to the Arxiv we learned of the forthcoming paper by Xian O. Camanho and Jose D. Edelstein [ 40 ] which partially overlaps with our results.”
- Black holes in quasi-topological gravity (2010, methodology): “Hence for D ≥ 7, the black holes for quasi-topological gravity discussed here would be the same as those in cubic Lovelock theory, as considered in [8, 27].”
- Holographic entanglement entropy in Lovelock gravities (2011, background): “(Work which uses higher derivative gravitational theories to study unitarity constraints in CFTs includes [12-25].”
- Multiple reentrant phase transitions and triple points in Lovelock thermodynamics (2014, background): “17) in [68], or on the AdS/CFT calculations [69, 70].”
- Holographic c-theorems in arbitrary dimensions (2010, methodology): “6) are constrained to be not very large, otherwise one finds that the dual CFT is inconsistent – for a more precise discussion, see [16, 25, 26, 27].”
- Analytical study on holographic superconductors in external magnetic field (2010, background): “Besides there also exists a lower bound on the Gauss-Bonnet coupling by considering the causality [47, 53, 54].”
- A Holographic View on Physics out of Equilibrium (2010, background): “Recently, this bound has been shown to be violated in higher-derivative theories of gravity: there are example toy-models such as Gauss-Bonnet gravity [74, 75] and other higherderivative theories [76, 77, 78, 79, 80, 81] and also some string theory inspired constructions”