dS/CFT Correspondence from a Holographic Description of Massless Scalar Fields in Minkowski Space-Time

Details dS/CFT Correspondence from a Holographic Description of Massless Scalar Fields in Minkowski Space-Time dS/CFT Correspondence from a Holographic Description of Massless Scalar Fields in Minkowski Space-Time

2004-04-08

arxiv.org/abs/hep-th/0404067v2

Phys.Lett. B601 (2004) 192-196

Physics

High Energy Physics

High Energy Physics - Theory

To appear in Phys. Lett. B

Scientific paper

10.1016/j.physletb.2004.09.046

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+1 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.

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