<p>We explore the reconstruction of bulk local states in three-dimensional flat spacetime (Flat<sub>3</sub>) using states from two-dimensional Carrollian conformal field theories (CCFT<sub>2</sub>), 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<sub>3</sub> and dS<sub>3</sub> spacetimes, further validating our proposal for scalar reconstruction in Flat<sub>3</sub>/CCFT<sub>2</sub>.</p>

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Bulk reconstruction of scalar excitations in Flat3/CCFT2 and the flat limit from (A)dS3/CFT2

  • Peng-Xiang Hao,
  • Kotaro Shinmyo,
  • Yu-ki Suzuki,
  • Shunta Takahashi,
  • Tadashi Takayanagi

摘要

We explore the reconstruction of bulk local states in three-dimensional flat spacetime (Flat3) using states from two-dimensional Carrollian conformal field theories (CCFT2), 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 AdS3 and dS3 spacetimes, further validating our proposal for scalar reconstruction in Flat3/CCFT2.