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Is there really a de Sitter/CFT duality. (English) Zbl 1226.83030

Summary: A de Sitter Space version of black hole complementarity is formulated which states that an observer in de Sitter Space describes the surrounding space as a sealed finite temperature cavity bounded by a horizon which allows no loss of information. We then discuss the implications of this for the existence of boundary correlators in the hypothesized dS/cft correspondence. We find that dS complementarity precludes the existence of the appropriate limits. We find that the limits exist only in approximations in which the entropy of the de Sitter Space is infinite. The reason that the correlators exist in quantum field theory in the de Sitter Space background is traced to the fact that horizon entropy is infinite in QFT.

MSC:

83C57 Black holes
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
83E30 String and superstring theories in gravitational theory

References:

[1] doi:10.1103/PhysRevD.48.3743 · doi:10.1103/PhysRevD.48.3743
[4] doi:10.1103/PhysRevD.65.104039 · doi:10.1103/PhysRevD.65.104039
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