Elliptic de Sitter space:<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>d</mml:mi><mml:mi>S</mml:mi><mml:mo>/</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>Z</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow>
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Publication:3093884
DOI10.1103/PHYSREVD.67.064005zbMATH Open1222.83043arXivhep-th/0209120MaRDI QIDQ3093884
Author name not available (Why is that?)
Publication date: 19 October 2011
Published in: (Search for Journal in Brave)
Abstract: We propose that for every event in de Sitter space, there is a CPT-conjugate event at its antipode. Such an ``elliptic -identification of de Sitter space provides a concrete realization of observer complementarity: every observer has complete information. It is possible to define the analog of an S-matrix for quantum gravity in elliptic de Sitter space that is measurable by all observers. In a holographic description, S-matrix elements may be represented by correlation functions of a dual (conformal field) theory that lives on the single boundary sphere. S-matrix elements are de Sitter-invariant, but have different interpretations for different observers. We argue that Hilbert states do not necessarily form representations of the full de Sitter group, but just of the subgroup of rotations. As a result, the Hilbert space can be finite-dimensional and still have positive norm. We also discuss the elliptic interpretation of de Sitter space in the context of type IIB* string theory.
Full work available at URL: https://arxiv.org/abs/hep-th/0209120
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