The dS/CFT Correspondence

The dS/CFT Correspondence

12 Jul 2001 | Andrew Strominger
The dS/CFT correspondence proposes a holographic duality between quantum gravity on de Sitter space (dS) and a conformal field theory (CFT) on a sphere. This duality maps bulk de Sitter correlators with points on the boundary to CFT correlators on the sphere, and points on the future boundary of dS to antipodal points on the sphere. For dS₃, the central charge of the CFT is computed from the asymptotic symmetry group, yielding c = 3ℓ/(2G), where ℓ is the de Sitter radius and G is Newton's constant. The dual CFT may be non-unitary if there are sufficiently massive stable scalars. The paper also considers the physical region O⁻ of dS₃, which is the causal past of a timelike observer, and its holographic dual on a plane. The dS/CFT correspondence is supported by the computation of correlation functions of a massive scalar field. The paper discusses the similarities and differences between the AdS/CFT and dS/CFT correspondences, and concludes that both cases can be described by a single CFT. The paper also explores the implications of the dS/CFT correspondence for cosmology and the possibility of a holographic dual for de Sitter space.The dS/CFT correspondence proposes a holographic duality between quantum gravity on de Sitter space (dS) and a conformal field theory (CFT) on a sphere. This duality maps bulk de Sitter correlators with points on the boundary to CFT correlators on the sphere, and points on the future boundary of dS to antipodal points on the sphere. For dS₃, the central charge of the CFT is computed from the asymptotic symmetry group, yielding c = 3ℓ/(2G), where ℓ is the de Sitter radius and G is Newton's constant. The dual CFT may be non-unitary if there are sufficiently massive stable scalars. The paper also considers the physical region O⁻ of dS₃, which is the causal past of a timelike observer, and its holographic dual on a plane. The dS/CFT correspondence is supported by the computation of correlation functions of a massive scalar field. The paper discusses the similarities and differences between the AdS/CFT and dS/CFT correspondences, and concludes that both cases can be described by a single CFT. The paper also explores the implications of the dS/CFT correspondence for cosmology and the possibility of a holographic dual for de Sitter space.
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