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Abstract
We consider AdS gravity duals to CFT on background spacetimes with a null infinity. Null infinity on the conformal boundary may extend to an extremal horizon in the bulk. For example it does so for PoincareAdS, although does not for planar SchwarzschildAdS. If null infinity does extend into an extremal horizon in the bulk, we show that the bulk nearhorizon geometry is determined by the geometry of the boundary null infinity. Hence the `infrared' geometry of the bulk is fixed by the large scale behaviour of the CFT spacetime. In addition the boundary stress tensor must have a particular decay at null infinity. As an application, we argue that for CFT on asymptotically flat backgrounds, any static bulk dual containing an extremal horizon extending from the boundary null infinity, must have the nearhorizon geometry of PoincareAdS. We also discuss a class of boundary null infinity that cannot extend to a bulk extremal horizon, although we give evidence that they can extend to an analogous null surface in the bulk which possesses an associated scaleinvariant `neargeometry'.
Original language  English 

Article number  035008 
Journal  Classical and quantum gravity 
Volume  32 
Issue number  3 
DOIs  
Publication status  Published  8 Jan 2015 
Keywords
 hepth
 grqc
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Dive into the research topics of 'Null infinity and extremal horizons in AdSCFT'. Together they form a unique fingerprint.Projects
 3 Finished

Particle Theory at the Higgs Centre
FigueroaO'Farrill, J., Lucietti, J. & Simon Soler, J.
1/10/14 → 30/09/18
Project: Research

Particle Theory at the Higgs Centre
Ball, R., Berera, A., Boyle, P., CallisonBurch, C., Del Debbio, L., Gardi, E., Kennedy, A., O'Connell, D., Zwicky, R., Berera, A., Boyle, P., Buckley, A., Del Debbio, L., Gardi, E., Horsley, R., Kennedy, A., Kenway, R., O'Connell, D., Smillie, J. & Zwicky, R.
1/10/14 → 30/09/18
Project: Research
