Post AdS/CFT

TL;DR

This paper derives the gravitational Hamiltonian for particles in AdS space, revealing classical chaos that impacts the dual CFT spectrum, suggesting level repulsion at strong coupling.

Contribution

It provides the leading-order Hamiltonian for relativistic particles in AdS and explores its chaotic classical limit within the AdS/CFT framework.

Findings

Hamiltonian derived to leading order in Newton's constant.

Classical chaos expected due to pairwise interactions and AdS confinement.

Implication of level repulsion in the dual CFT spectrum at strong coupling.

Abstract

The Hamiltonian governing the gravitational interaction of N relativistic particles in a four-dimensional anti-de Sitter background is derived to leading order in Newton's constant. The resulting pairwise interactions, combined with the confining nature of motion in anti-de Sitter spacetime, are expected to lead to classical chaos. In the context of the AdS/CFT correspondence, the emergence of a chaotic classical limit on the gravity side has important implications for the dual three-dimensional conformal field theory, including that the spectrum of conformal primary operators at strong coupling should exhibit level repulsion in line with the Wigner surmise.