Some data files related to physics and mathematics

6D supergravity/F-theory and Calabi-Yau threefolds

Bases for elliptic threefolds:

List of all 61,539 toric bases for 6D F-theory models
[Data file for "Toric bases for 6D F-theory models" [arXiv:1204.0283] by D. R. Morrison and W. Taylor]

List of 6511 general base surfaces for 6D F-theory models supporting generic elliptic Calabi-Yau threefolds with h21 at least 150
[Data file for "Non-Toric bases for elliptic Calabi-Yau threefolds and 6D F-theory vacua" [arXiv:1504.07689] by W. Taylor and Y. Wang]

List of 468 general base surfaces with h11 less than 8 for 6D F-theory models supporting generic elliptic Calabi-Yau threefolds
[Data file for "Non-Toric bases for elliptic Calabi-Yau threefolds and 6D F-theory vacua" [arXiv:1504.07689] by W. Taylor and Y. Wang]

Fibration structures of Calabi-Yau threefolds:

List of all reflexive 4D polytopes from the KS database lacking reflexive 2D subpolytopes, corresponding to Calabi-Yau threefolds without manifest birational equivalence to elliptic or genus one fibered CY3
Julia code to analyze reflexive 4D polytopes from the KS database for reflexive 2D subpolytopes
Sample input for Julia code: all polytopes associated with Calabi-Yau threefolds having Hodge number h11 = 2
[Data and program files for "Fibration structure in toric hypersurface Calabi-Yau threefolds" [arXiv:1907.09482] by Y. Huang and W. Taylor]

List of all manifest (toric) genus one and elliptic fibers for Calabi-Yau threefolds with h11 or h21 greater or equal to 140 from toric hypersurfaces in the Kreuzer-Skarke database.
[Data file for "On the prevalence of elliptic and genus one fibrations among toric hypersurface Calabi-Yau threefolds" [arXiv:1809.05160] by Y. Huang and W. Taylor]

4D supergravity/F-theory and Calabi-Yau fourfolds

List of all toric P^1-bundle bases for 4D F-theory models with smooth heterotic duals
[Data file for "Geometric constraints in dual F-theory and heterotic string compactifications" [arXiv:1405.2074] by L. Anderson and W. Taylor]