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

Abstract

We summarize part of a systematic study of particle dynamics on $Ad{S}_{N+1}$ 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.

8 pages, to appear in the proceedings of the 37th Int. Symp. Ahrenshoop on the Theory of Elementary Particles, Aug. 23-27, 2004, Berlin-Schmöckwitz

Cited by in corpus (5)

• Complexity for Conformal Field Theories in General Dimensions
• Entanglement and geometry from subalgebras of the Virasoro algebra
• Oscillator quantization of the massive scalar particle dynamics on AdS spacetime
• Massless scalar particle on AdS spacetime: Hamiltonian reduction and quantization
• Coset construction of AdS particle dynamics