Global Anomalies and Geometric Engineering of Critical Theories in Six Dimensions

Details Global Anomalies and Geometric Engineering of Critical Theories in Six Dimensions Global Anomalies and Geometric Engineering of Critical Theories in Six Dimensions

1997-03-24

arxiv.org/abs/hep-th/9703167v2

Physics

High Energy Physics

High Energy Physics - Theory

Three additional infinite series are constructed in F-theory which do not have field theory realization. Also some references

Scientific paper

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).

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