Explicit lattice computations in weighted Fermat hypersurfaces show symmetric self-dual Hodge classes typically overshoot M2-brane tadpole bounds due to Galois orbits, except at one high h^{1,1} point where the conjecture holds.
M Theory, Orientifolds and G-Flux
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abstract
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-Kahler space with torsion.
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Hodge theory and $G_4$ fluxes in weighted projective spaces: Galois action
Explicit lattice computations in weighted Fermat hypersurfaces show symmetric self-dual Hodge classes typically overshoot M2-brane tadpole bounds due to Galois orbits, except at one high h^{1,1} point where the conjecture holds.
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- Calabi-Yau Orientifold Hypersurfaces and their F-theory Uplifts