Proof of the Witten-Yau Conjecture
Mathematical Physics
2012-11-21 v2 High Energy Physics - Theory
math.MP
Abstract
The Witten-Yau theorem in the AdS/CFT correspondence conjectures that the conformal boundary to AdS space must possess a metric of non-negative scalar curvature for the conformal field theory defined thereon to be free of pathologies. By employing various tools from conformal geometry - such as almost Einstein structures, collapsing sphere products and tractor bundles - we rigorously prove this conjecture.
Keywords
Cite
@article{arxiv.1208.2565,
title = {Proof of the Witten-Yau Conjecture},
author = {James A. Reid and Charles H. -T. Wang},
journal= {arXiv preprint arXiv:1208.2565},
year = {2012}
}
Comments
It has come to our attention that theorem .5 has been misapplied, thereby invalidating the result