Special Lagrangian torus fibrations of complete intersection Calabi-Yau manifolds: a geometric conjecture
arXiv:1504.08337 · doi:10.1016/j.nuclphysb.2015.05.030
Abstract
For complete intersection Calabi-Yau manifolds in toric varieties, Gross and Haase-Zharkov have given a conjectural combinatorial description of the special Lagrangian torus fibrations whose existence was predicted by Strominger, Yau and Zaslow. We present a geometric version of this construction, generalizing an earlier conjecture of the first author.
23 pagers, 10 figures
References in corpus (13)
- Mirror Symmetry is T-Duality
- Compactifications of moduli spaces inspired by mirror symmetry
- Dual Cones and Mirror Symmetry for Generalized Calabi-Yau Manifolds
- Towards the Mirror Symmetry for Calabi-Yau Complete intersections in Gorenstein Toric Fano Varieties
- Special Lagrangian Fibrations I: Topology
- Erratum to "The Homogeneous Coordinate Ring of a Toric Variety", along with the original paper
- Lagrangian torus fibration and mirror symmetry of Calabi-Yau hypersurface in toric variety
- Integral affine structures on spheres and torus fibrations of Calabi-Yau toric hypersurfaces I
- Lagrangian torus fibration of quintic Calabi-Yau hypersurfaces II: Technical results on gradient flow construction
- On the structure of supersymmetric T3 fibrations
- Integral affine structures on spheres and torus fibrations of Calabi-Yau toric hypersurfaces II
- Generalized special Lagrangian fibration for Calabi-Yau hypersurfaces in toric varieties III: The smooth fibres
- Generalized special Lagrangian torus fibration for Calabi-Yau hypersurfaces in toric varieties II