Summary
We describe a general geometric setup allowing a generalization of Rehren duality to asymptotically anti-de Sitter space-times whose classical matter distribution is sufficiently well-behaved to prevent the occurence of singularities in the sense of null geodesic incompleteness. We also comment on the issues involved in the reconstruction of an additive and locally covariant bulk net of observables from a corresponding boundary net in this more general situation.
Talk given during the Symposium “Rigorous Quantum Field Theory” in the honour of Prof. J. Bros, SPhT-Saclay, Paris, July 19–21, 2004. This project is supported by FAPESP under grant no. 01/14360-1.
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This work is dedicated to Professor Jacques Bros, on the occasion of his 70th birthday.
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Ribeiro, P.L. (2007). Algebraic Holography in Asymptotically Simple, Asymptotically AdS Space-times. In: de Monvel, A.B., Buchholz, D., Iagolnitzer, D., Moschella, U. (eds) Rigorous Quantum Field Theory. Progress in Mathematics, vol 251. Birkhäuser, Basel. https://doi.org/10.1007/978-3-7643-7434-1_18
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