Facts and Fictions About Anti deSitter Spacetimeswith Local Quantum Matter
Abstract
It is natural to analyse the AdS$_{d+1}$CQFT$_{d}$ correspondence in the context of the conformal compactification and covering formalism. In this way one obtains additional inside about Rehren's rigorous algebraic holography in connection with the degree of freedom issue which in turn allows to illustrates the subtle but important differences beween the original string theorybased Maldacena conjecture and Rehren's theorem in the setting of an intrinsic fieldcoordinatizationfree formulation of algebraic QFT. I also discuss another more generic type of holography related to light fronts which seems to be closer to 't Hooft's original ideas on holography. This in turn is naturally connected with the generic concept of ``Localization Entropy'', a quantum preform of Bekenstein's classical blackhole surface entropy.
 Publication:

Communications in Mathematical Physics
 Pub Date:
 2001
 DOI:
 10.1007/s002200100419
 arXiv:
 arXiv:hepth/9911100
 Bibcode:
 2001CMaPh.219...57S
 Keywords:

 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Phenomenology;
 Mathematical Physics;
 Quantum Physics
 EPrint:
 this final version is identical to the one which appeared in Commun. Math. Phys. 219, (2001) 5776, an issue of CMP dedicated to the memory of Harry Lehmannn