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arXiv · 1504.03723

Bulk Duals for Generic Static, Scale-Invariant Holographic CFT States

Andrew Hickling
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Abstract

Near horizon geometries have been widely studied, and have found many applications. Certain static, near horizon geometries are now understood to be bulk duals to CFTs with static scale-invariant sources under the AdS/CFT correspondence. However, static near-horizon geometries aren't just scale-invariant, they have extra `enhanced' symmetry. This means that they can only be the bulk duals for a special class of static, scale-invariant sources that share this enhanced symmetry. The purpose of this paper is to consider bulk duals for more generic static, scale-invariant sources, without this extra symmetry. These solutions are quite different to near-horizon geometries. In place of the extremal horizon they have a null singularity. We find specific examples of such bulk geometries numerically for the cases of pure gravity, and for an abelian gauge field.

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Andrew Hickling. 2015-04-14. Bulk Duals for Generic Static, Scale-Invariant Holographic CFT States. https://doi.org/10.1088/0264-9381%2F32%2F17%2F175011

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