Strings on Eight-Orbifolds

Details Strings on Eight-Orbifolds Strings on Eight-Orbifolds

2004-05-17

arxiv.org/abs/hep-th/0405151v2

Nucl.Phys. B703 (2004) 177-198

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, Latex, v2: added references

Scientific paper

10.1016/j.nuclphysb.2004.10.026

We present several examples of T^8/P orbifolds with $P \subset SU(4)$. We compute their Hodge numbers and consider turning on discrete torsion. We then study supersymmetric compactifications of type II, heterotic, and type I strings on these orbifolds. Heterotic compactifications to D=2 have a B-field tadpole with coefficient given by that of the anomaly polynomial. In the SO(32) heterotic with standard embedding the tadpole is absent provided the internal space has a precise value of the Euler number. Guided by their relation to type I, we find tadpole-free SO(32) heterotic orbifolds with non-standard embedding.

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