dS/CFT correspondence from a holographic description of massless scalar fields in Minkowski space-time

We solve Klein-Gordon equation for massless scalars on (d + 1)-dimensional Minkowski (Euclidean) space in terms of the Cauchy data on the hypersurface t = 0. By inserting the solution into the action of massless scalars in Minkowski (Euclidean) space we obtain the action of dual theory on the boundary t = 0 which is exactly the holographic dual of conformally coupled scalars on (d + I)-dimensional (Euclidean anti) de Sitter space obtained in (A)dS/CFT correspondence. The observed equivalence of dual theories is explained using the one-to-one map between conformally coupled scalar fields on Minkowski (Euclidean) space and (Euclidean anti) de Sitter space which is an isomorphism between the hypersurface t = 0 of Minkowski (Euclidean) space and the boundary of (A)dS space. (C) 2004 Published by Elsevier B.V.