The dS/CFT correspondence
Abstract
A holographic duality is proposed relating quantum gravity on dS_{D} (Ddimensional de Sitter space) to conformal field theory on a single S^{D1} ((D1)sphere), in which bulk de Sitter correlators with points on the boundary are related to CFT correlators on the sphere, and points on Script I^{+} (the future boundary of dS_{D}) are mapped to the antipodal points on S^{D1} relative to those on Script I^{}. For the case of dS_{3}, which is analyzed in some detail, the central charge of the CFT_{2} is computed in an analysis of the asymptotic symmetry group at Script I^{+/}. This dS/CFT proposal is supported by the computation of correlation functions of a massive scalar field. In general the dual CFT may be nonunitary and (if for example there are sufficently massive stable scalars) contain complex conformal weights. We also consider the physical region Script O^{} of dS_{3} corresponding to the causal past of a timelike observer, whose holographic dual lives on a plane rather than a sphere. Script O^{} can be foliated by asymptotically flat spacelike slices. Time evolution along these slices is generated by L_{0}+bar L_{0}, and is dual to scale transformations in the boundary CFT_{2}.
 Publication:

Journal of High Energy Physics
 Pub Date:
 October 2001
 DOI:
 10.1088/11266708/2001/10/034
 arXiv:
 arXiv:hepth/0106113
 Bibcode:
 2001JHEP...10..034S
 Keywords:

 High Energy Physics  Theory
 EPrint:
 Assorted errors and typos corrected, references addded