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M theory, orientifolds and $$G$$-flux. (English) Zbl 1060.81575
Summary: We study the properties of M and F theory compactifications to three and four dimensions with background fluxes. We provide a simple construction of supersymmetric vacua, including some with orientifold descriptions. These vacua, which have warp factors, typically have fewer moduli than conventional Calabi-Yau compactifications. The mechanism for anomaly cancellation in the orientifold models involves background RR and NS fluxes. We consider in detail an orientifold of $$K3 \times T^2$$ with background fluxes. After a combination of $$T$$ and $$S$$-dualities, this type IIB orientifold is mapped to a compactification of the SO(32) heterotic string on a non-Kähler space with torsion.

MSC:
 81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
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