Discreteness in deSitter Space and Quantization of Kahler Manifolds

Details Discreteness in deSitter Space and Quantization of Kahler Manifolds Discreteness in deSitter Space and Quantization of Kahler Manifolds

2001-01-25

arxiv.org/abs/hep-th/0101176v2

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, references corrected

Scientific paper

Recently, it has been proposed that the dimension of the Hilbert space of quantum gravity in deSitter space is finite and moreover it is expressed in terms of the coupling constants by using the entropy formula. A weaker conjecture would be that the coupling constant in deSitter space should take only discrete values not necessarily given by the entropy formula. We discuss quantization of the horizon in deSitter space by using Berezin's functorial quantization of Kahler manifolds and argue that the weak conjecture is valid for Euclidean deSitter space. Moreover it can be valid for a class of bounded complex symmetric spaces.

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