Obstructions to the Existence of Sasaki-Einstein Metrics
| dc.creator | Gauntlett, Jerome P. | |
| dc.creator | Martelli, Dario | |
| dc.creator | Sparks, James | |
| dc.creator | Yau, Shing-Tung | |
| dc.date | 2006-07-12 | |
| dc.date | 2006-08-17 | |
| dc.date.accessioned | 2026-07-07T11:06:50Z | |
| dc.date.available | 2026-07-07T11:06:50Z | |
| dc.description | We describe two simple obstructions to the existence of Ricci-flat Kahler cone metrics on isolated Gorenstein singularities or, equivalently, to the existence of Sasaki-Einstein metrics on the links of these singularities. In particular, this also leads to new obstructions for Kahler-Einstein metrics on Fano orbifolds. We present several families of hypersurface singularities that are obstructed, including 3-fold and 4-fold singularities of ADE type that have been studied previously in the physics literature. We show that the AdS/CFT dual of one obstruction is that the R-charge of a gauge invariant chiral primary operator violates the unitarity bound. | |
| dc.description | 35 pages, 1 figure; references and a footnote added | |
| dc.identifier | https://arxiv.org/abs/hep-th/0607080 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0607080 | |
| dc.identifier | Commun.Math.Phys.273:803-827,2007 | |
| dc.identifier | doi:10.1007/s00220-007-0213-7 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/189655 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Differential Geometry | |
| dc.title | Obstructions to the Existence of Sasaki-Einstein Metrics | |
| dc.type | text |