Holographic description of asymptotically AdS_2 collapse geometries

Details Holographic description of asymptotically AdS_2 collapse geometries Holographic description of asymptotically AdS_2 collapse geometries

2008-10-09

arxiv.org/abs/0810.1750v1

Phys.Rev.D78:124017,2008

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 2 figures

Scientific paper

10.1103/PhysRevD.78.124017

The mapping between bulk supergravity fields in anti-de Sitter space and operators in the dual boundary conformal field theory usually relies heavily on the available global symmetries. In the present work, we study a generalization of this mapping to time dependent situations, for the simple case of collapsing shock waves in two spacetime dimensions. The construction makes use of analyticity of the conformal field theory and the properties of the asymptotic bulk geometry to reconstruct the non-analytic bulk observables. Many of the features of this construction are expected to apply to higher dimensional asymptotically anti-de Sitter spacetimes and their conformal field theory duals.

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