AdS Dynamics from Conformal Field Theory

TL;DR

This paper investigates how the dynamics of local string theories in anti-de Sitter space can be inferred from their dual conformal field theories, addressing bulk interactions and black hole singularities.

Contribution

It provides insights into reconstructing AdS string dynamics from CFTs and discusses black hole singularity resolution within the CFT framework.

Findings

Bulk free fields can be constructed from CFT operators.

Challenges arise when incorporating interactions.

AdS_3 black hole singularities are resolved in the CFT description.

Abstract

We explore the extent to which a local string theory dynamics in anti-de Sitter space can be determined from its proposed Conformal Field Theory (CFT) description. Free fields in the bulk are constructed from the CFT operators, but difficulties are encountered when one attempts to incorporate interactions. We also discuss general features of black hole dynamics as seen from the CFT perspective. In particular, we argue that the singularity of AdS_3 black holes is resolved in the CFT description.