Anomaly Cancellation in Six Dimensions

Details Anomaly Cancellation in Six Dimensions Anomaly Cancellation in Six Dimensions

1993-04-22

arxiv.org/abs/hep-th/9304104v1

J.Math.Phys. 35 (1994) 1819-1833

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, UPR-0567T

Scientific paper

10.1063/1.530885

I show that anomaly cancellation conditions are sufficient to determine the two most important topological numbers relevant for Calabi-Yau compactification to six dimensions. This reflects the fact that K3 is the only non-trivial CY manifold in two complex dimensions. I explicitly construct the Green-Schwarz counterterms and derive sum rules for charges of additional enhanced U(1) factors and compare the results with all possible Abelian orbifold constructions of K3. This includes asymmetric orbifolds as well, showing that it is possible to regain a geometrical interpretation for this class of models. Finally, I discuss some models with a broken $E_7$ gauge group which will be useful for more phenomenological applications.

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