Carrollian Perspective on Celestial Holography.

Area of Science:

• Theoretical Physics
• Quantum Gravity
• Holography

Background:

• Asymptotically flat spacetimes are crucial for understanding gravity.
• Celestial conformal field theories (CFTs) offer a novel framework for gravity.
• Carrollian field theories provide a unique kinematic structure.

Purpose of the Study:

• To establish a holographic connection between gravity in 4D asymptotically flat spacetimes and a 3D sourced conformal Carrollian field theory.
• To demonstrate how external sources in the Carrollian theory represent gravitational radiation.
• To explore the relationship between Carrollian field theory and 2D celestial CFT.

Main Methods:

• Formulating a 3D sourced conformal Carrollian field theory.
• Analyzing the kinematic properties of the Carrollian theory.
• Comparing Ward identities of the Carrollian theory with those of 2D celestial CFT.
• Establishing operator mappings between Carrollian and celestial frameworks.

Main Results:

• The 3D sourced conformal Carrollian field theory possesses the necessary kinematic properties for holographic description of 4D gravity.
• External sources in this theory effectively encode gravitational radiation leaks at null infinity.
• Ward identities of the Carrollian theory correspond to those of 2D celestial CFT upon operator identification.

Conclusions:

• A novel holographic duality is proposed between 4D asymptotically flat gravity and 3D sourced conformal Carrollian field theory.
• This work reveals a deep connection between gravitational radiation, Carrollian field theory, and celestial CFT.
• New avenues for studying quantum gravity and holography are opened.