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

preprint2005arXivOpen access

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.

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

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