de Sitter space and Holography

One can compute correlation function of CFT operators thatcouple to bulk fields (much similar to AdS/CFT)Consider a massive scalar field. In static coordinates one has1r ∂ r(rV (r)∂ r Φ) − 1V (r) ∂ tΦ + 1 r 2∂2 φ − m 2 Φ 2 = 0where.V (r) = 1 − r2l 2Near the boundary I − which is at r → ∞ we getwithΦ ∼ r −h ±h ± = 1 ± √ 1 − m 2 l 2One may impose the boundary conditionlim Φ(r, t,φ) =r→∞ r−h −Φ − (t, φ)Therefore the two point function of an operator O coupledto Φ on the boundary can be evaluated in the same way asAdS/CFT correspondence.43