The 24-Cell and Calabi-Yau Threefolds with Hodge Numbers (1,1)

Abstract

Calabi-Yau threefolds with h^11(X)=h^21(X)=1 are constructed as free quotients of a hypersurface in the ambient toric variety defined by the 24-cell. Their fundamental groups are SL(2,3), a semidirect product of Z_3 and Z_8, and Z_3 x Q_8.

22 pages, 3 figures, 3 tables

References in corpus (3)

• On Free Quotients of Complete Intersection Calabi-Yau Manifolds
• A Three-Generation Calabi-Yau Manifold with Small Hodge Numbers
• Hyperconifold Transitions, Mirror Symmetry, and String Theory

Cited by in corpus (7)

• Toric Elliptic Fibrations and F-Theory Compactifications
• Calabi-Yau Threefolds With Small Hodge Numbers
• Hodge Numbers for CICYs with Symmetries of Order Divisible by 4
• Towards a complete mass spectrum of type-IIB flux vacua at large complex structure
• Analytics of type IIB flux vacua and their mass spectra
• The Mass Gap of the Space-time and its Shape
• Quantum Spacetime Imprints: The 24-Cell, Standard Model Symmetry and Its Flavor Mixing