Holographic description of asymptotically AdS_2 collapse geometries

TL;DR

This paper develops a holographic framework to relate bulk supergravity fields to boundary conformal field theory operators in time-dependent, collapsing AdS_2 geometries, extending the usual symmetry-based mappings to non-static scenarios.

Contribution

It introduces a method to reconstruct non-analytic bulk observables from boundary data in time-dependent AdS_2 collapse geometries, generalizing the holographic dictionary beyond static cases.

Findings

Reconstruction of bulk observables using analyticity and asymptotic geometry.

Extension of holographic mapping to time-dependent, non-static spacetimes.

Potential applicability to higher-dimensional AdS/CFT scenarios.

Abstract

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.