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This study explores flat space holography using Celestial and Carrollian conformal field theories (CFTs). It proposes that 3D Carrollian CFTs on the null boundary can compute bulk scattering amplitudes, focusing on time-dependent correlators.

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Area of Science:

  • Theoretical Physics
  • Quantum Field Theory
  • String Theory

Background:

  • Holography for asymptotically flat spacetimes is explored via Celestial and Carrollian conformal field theories (CFTs).
  • Celestial holography offers insights into asymptotic symmetries and scattering amplitudes in 4D Minkowski spacetime.
  • Carrollian CFTs have provided evidence for flat holography in lower dimensions, but understanding flat space scattering remains a challenge.

Purpose of the Study:

  • To investigate the potential of 3D Carrollian CFTs in computing bulk scattering amplitudes in 4D flat space.
  • To bridge the gap in understanding flat space scattering within the Carrollian framework.
  • To propose a connection between Carrollian CFT correlators and bulk scattering phenomena.

Main Methods:

  • Leveraging concepts from Celestial holography.
  • Analyzing 3D Carrollian CFTs residing on the null boundary of 4D flat spacetime.
  • Investigating the properties of Carrollian conformal correlators, specifically their time-dependent and time-independent branches.

Main Results:

  • Demonstrated that 3D Carrollian CFTs on the null boundary can potentially compute bulk scattering amplitudes.
  • Identified the time-dependent branch of 3D Carrollian conformal correlators as the relevant component for bulk scattering.
  • Constructed a specific field theoretic example using a free massless Carrollian scalar that exhibits desired properties.

Conclusions:

  • The time-dependent branch of 3D Carrollian CFT correlators is proposed to be intrinsically linked to bulk scattering amplitudes.
  • This work provides a novel framework for studying flat space scattering using Carrollian CFTs, inspired by Celestial holography.
  • The developed Carrollian scalar model serves as a concrete realization supporting the proposed holographic connection.