1208.2565 (James A. Reid et al.)

Proof of the Witten-Yau Conjecture    [PDF]

James A. Reid, Charles H. -T. Wang

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.

View original: http://arxiv.org/abs/1208.2565