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

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${}_2$.

arXiv comment45 pages, 1 figure; published version (v3); note added(v4); eq.(2.55) corrected (v5)

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• Conformal Blocks in 2d Carrollian/Galilean CFTs and Excited State Entanglement Entropy
• Nonperfect Carrollian Fluids Through Holography