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Flux Compactifications on Calabi-Yau Threefolds
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abstract
The presence of RR and NS three-form fluxes in type IIB string compactification on a Calabi-Yau orientifold gives rise to a nontrivial superpotential W for the dilaton and complex structure moduli. This superpotential is computable in terms of the period integrals of the Calabi-Yau manifold. In this paper, we present explicit examples of both supersymmetric and nonsupersymmetric solutions to the resulting 4d N=1 supersymmetric no-scale supergravity, including some nonsupersymmetric solutions with relatively small values of W. Our examples arise on orientifolds of the hypersurfaces in $WP^{4}_{1,1,1,1,4}$ and $WP^{4}_{1,1,2,2,6}$. They serve as explicit illustrations of several of the ingredients which have played a role in the recent proposals for constructing de Sitter vacua of string theory.
Forward citations
Cited by 3 Pith papers
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Flux Vacua Near the Boundary of Large Complex Structure
Near the boundary of large complex structure, the first worldsheet instanton can displace flux vacua significantly while higher instantons stay negligible, and such vacua are common in a bounded two-modulus scan.
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Solving inverse problems of Type IIB flux vacua with conditional generative models
A conditional variational autoencoder trained on known Type IIB flux vacua can generate new physically valid flux vectors with targeted superpotential values faster than Metropolis sampling.
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Penumbral Inflation from Calabi-Yau Boundaries
A string-theoretic construction maps Calabi-Yau boundary data into a logarithmic plateau inflation model, yielding the leading tensor-to-scalar prediction r = 4d/(q²N²) with Hodge degree d.
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