Global Anomalies and Geometric Engineering of Critical Theories in Six Dimensions
| dc.creator | Bershadsky, Michael | |
| dc.creator | Vafa, Cumrun | |
| dc.date | 1997-03-24 | |
| dc.date | 1997-03-25 | |
| dc.date.accessioned | 2026-07-07T09:08:14Z | |
| dc.date.available | 2026-07-07T09:08:14Z | |
| dc.description | We show the existence of global gauge anomalies in six dimensions for gauge groups SU(2),SU(3) and G_2 coupled to matter, characterized by an element of Z_{12},Z_6 and Z_3 respectively. Consideration of this anomaly rules out some of the recently proposed 6 dimensional N=1 QFT's which were conjectured to possess IR fixed point at infinite coupling. We geometrically engineer essentially all the other models with one tensor multiplet using F-theory. In addition we construct 3 infinite series using F-theory geometry which do not have field theory analogs. All these models in the maximally Higgsed phase correspond to the strong coupling behaviour of E_8 x E_8 heterotic string compactification on K3 with instanton numbers (12+n,12-n). | |
| dc.description | Three additional infinite series are constructed in F-theory which do not have field theory realization. Also some references are added. 13 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/9703167 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9703167 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150651 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Global Anomalies and Geometric Engineering of Critical Theories in Six Dimensions | |
| dc.type | text |