Strings on Eight-Orbifolds

Abstract

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.

arXiv comment32 pages, Latex, v2: added references

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• F-theory and 2d (0,2) Theories
• UV Completions for Non-Critical Strings
• AdS-phobia, the WGC, the Standard Model and Supersymmetry
• The Gravitational Sector of 2d (0,2) F-theory Vacua
• The Green-Schwarz Mechanism and Geometric Anomaly Relations in 2d (0,2) F-theory Vacua
• 2d orbifolds with exotic supersymmetry