Localization of heterotic anomalies on various hyper surfaces of T^6/Z_4

Details Localization of heterotic anomalies on various hyper surfaces of T^6/Z_4 Localization of heterotic anomalies on various hyper surfaces of T^6/Z_4

2003-08-12

arxiv.org/abs/hep-th/0308076v1

Phys.Rev.D69:046001,2004

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, LaTex, with figures

Scientific paper

10.1103/PhysRevD.69.046001

We investigate the structure of local anomalies of heterotic E_8 x E_8' theory on T^6/Z_4. We show that the untwisted states lead to anomalies in ten, six and four dimensions. At each of the six dimensional fixed spaces of this orbifold the twisted states ensure, that the anomalies factorize separately. As some of these twisted states live on T^2/Z_2, they give rise to four dimensional anomalies as well. At all four dimensional fixed points at worst a single Abelian anomaly can arise. Since the anomalies in all these dimensions factorize in a universal way, they can be canceled simultaneously. In addition, we show that for all U(1) factors at the four dimensional fixed points at least logarithmically divergent Fayet--Ilopoulos tadpoles are generated.

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