Proof of the Witten-Yau Conjecture
| Autor: | Reid, James A., Wang, Charles H. -T. |
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| Rok vydání: | 2012 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: It has come to our attention that theorem .5 has been misapplied, thereby invalidating the result |
| Databáze: | arXiv |
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