Bulk Reconstruction of Scalar Excitations in Flat$_3$/CCFT$_2$ and the Flat Limit from (A)dS$_3$/CFT$_2$

TL;DR

This paper develops a method to reconstruct bulk scalar excitations in three-dimensional flat spacetime from two-dimensional Carrollian conformal field theories, validating the approach through a new flat limit from AdS and dS spacetimes.

Contribution

It introduces a novel bulk reconstruction technique for scalar fields in Flat$_3$/CCFT$_2$ and establishes a new flat limit from AdS$_3$ and dS$_3$ to support the method.

Findings

Successfully reconstructs bulk massive scalar spectrum.

Reproduces bulk-to-bulk propagator in flat spacetime.

Identifies a new flat limit from AdS$_3$ and dS$_3$.

Abstract

We explore the reconstruction of bulk local states in three-dimensional flat spacetime (Flat$_3$) using states from two-dimensional Carrollian conformal field theories (CCFT$_2$), proposed as dual field theories in one lower dimension. For massive scalar-type bulk excitations, reconstruction is achieved through states in the induced representation. This method successfully reproduces the bulk massive scalar spectrum and the bulk-to-bulk propagator. Additionally, we identify a new flat limit from AdS$_3$ and dS$_3$ spacetimes, further validating our proposal for scalar reconstruction in Flat$_3$/CCFT$_2$.