Lectures on Carrollian Holography

TL;DR

This paper introduces Carrollian holography, a framework connecting gravitational scattering amplitudes in flat spacetimes with a novel conformal field theory on null boundaries, advancing understanding of quantum gravity.

Contribution

It provides a comprehensive, pedagogical overview of Carrollian holography, emphasizing the development of a non-perturbative conformal field theory framework for flat space quantum gravity.

Findings

Establishes the correspondence between scattering amplitudes and Carrollian CFT correlators

Develops the intrinsic structure of Carrollian conformal field theory

Highlights the non-perturbative formulation of gravitational scattering

Abstract

Carrollian Holography aims to provide a holographic description of quantum gravity in asymptotically flat spacetimes, in terms of a novel kind of `carrollian' conformal field theory defined on the spacetime null conformal boundary $\mathscr{I}$. The goal of these lectures is to offer a self-contained, pedagogical introduction to this active field of research. The main focus is given to the correspondence between massless scattering amplitudes, including gravitational amplitudes, and correlators in carrollian conformal field theory. Strong emphasis is put on the development of carrollian conformal field theory as an intrinsic, independent, and non-perturbative framework in which to formulate gravitational scattering theory.