dS/CFT Correspondence from a Holographic Description of Massless Scalar Fields in Minkowski Space-Time
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0404067,
title = {dS/CFT Correspondence from a Holographic Description of Massless Scalar Fields in Minkowski Space-Time},
author = {Farhang Loran},
journal= {arXiv preprint arXiv:hep-th/0404067},
year = {2009}
}
Comments
To appear in Phys. Lett. B