On particle dynamics in AdS_{N+1} space-time

TL;DR

This paper studies particle behavior in Anti-de Sitter space using Hamiltonian methods, introduces new unitary irreducible representations of the symmetry group, and links these to field theory results like propagators.

Contribution

It constructs new explicit unitary irreducible representations of SO(2,N) on holomorphic function spaces and explores their connection to field theoretic propagators.

Findings

New UIRs of SO(2,N) constructed on holomorphic functions

Connection established between particle dynamics and field propagators

Systematic Hamiltonian analysis of particles in AdS space

Abstract

We summarize part of a systematic study of particle dynamics on $AdS_{N+1}$ space-time based on Hamiltonian methods. New explicit UIR's of SO(2,N), defined on certain spaces of holomorphic functions, are constructed. The connection to some field theoretic results, including the construction of propagators, is discussed.