Elliptic de Sitter Space : dS / Z 2
نویسنده
چکیده
We propose that for every event in de Sitter space, there is a CPT-conjugate event at its antipode. Such an “elliptic” identification provides a concrete realization of observer complementarity in de Sitter space: every observer has complete information. This proposal naturally leads to a holographic description in which the dual (conformal) field theory lives on a single sphere. Correlation functions defined on the sphere are measurable by all observers, and define the analog of an S-matrix for de Sitter quantum gravity. We argue that although matrix elements of the S-matrix are de Sitter-invariant, the Hilbert states do not form representations of the full de Sitter group. As a result, the holographic description of de Sitter space can have a finite-dimensional Hilbert space and still be unitary. We also discuss the elliptic interpretation of de Sitter space in the context of type IIB* string theory. [email protected] [email protected] [email protected]
منابع مشابه
Towards a CPT Invariant Quantum Field Theory on Elliptic de Sitter Space
Consequences of Schrödinger’s antipodal identification on quantum field theory in de Sitter space are investigated. The elliptic Z2 identification provides observers with complete information. We show that a suitable confinement on dimension of the elliptic de Sitter space guarantees the existence of globally defined spinors and orientable dS/Z2 manifold. In Beltrami coordinates, we give exact ...
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