Geometrical Approximation to the AdS/CFT Correspondence
General Relativity and Quantum Cosmology
2016-11-29 v4 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
In this paper an analysis of the geometrical construction of the AdS/CFT Correspondence is made. A geometrical definition of the configuration manifold and the boundary manifold in terms of the conformal compactification scheme is given. As a conclusion, it was obtained that the usual definition of the correspondence is strongly dependent of the unicity of the conformal class of metrics on the boundary. Finally, a summary of some of the geometrical issues of the correspondence is made, along with a possible way to avoid them.
Keywords
Cite
@article{arxiv.1402.3742,
title = {Geometrical Approximation to the AdS/CFT Correspondence},
author = {Miguel Angel Martin Contreras and Jose Maria Rolando Roldan},
journal= {arXiv preprint arXiv:1402.3742},
year = {2016}
}
Comments
6 pages