============================================================================= ===== ===== ===== Database of global F-Theory GUTs (cf. arXiv:1101.4908) ===== ===== ===== ===== Author: J. Knapp, M. Kreuzer, C. Mayrhofer and N.-O. Walliser ===== ===== Last update: 2011-01-26 ===== ===== Host: http://hep.itp.tuwien.ac.at ===== ===== ===== ============================================================================= 1) Base manifold data: Base ---------------------------- The data is divided in directories according to the number of points and vertices of the polytopes describing the toric ambient spaces. Each file is labeled as follows: p<#Points>v<#Vertices>ndt - <#Points>: Number of points of the 4-dimensional reflexive polytope - <#Vertices>: Number of vertices of the polytope - : Ascending label of the reflexiv polytopes according to the database http://hep.itp.tuwien.ac.at/~kreuzer/CY/CYcy.html - : Hypersurface degree of the base manifold - : Label of the crepant triangulations of the polytope We have taken care not to exceed the number of 90 000 files per directory. For this reason we divided the data of p9v7 and p9v8 in subdirectories (with max 50 000 elements) that are labeled with the index . Ex.: p9v8n224d1-3-3-2t1 (contained in the subdirectory 140_229_p9v8) - Hypersurface degree: d = (1 3 3 2) - Ambient space: polytope n=224 in the list of 4-dimensional polytopes with 9 points and 8 vertices. Crepant triangulation t=1. WARNING 1: The polynomial "c2(H) = ..." does not yield the second Chern class of the hypersurface H, but that of the CY-hypersurface. WARNING 2: The del Pezzo info are listed in the *second* line starting with "dPs: ..." First line starting with "dPs: ..." is there for diagnostic reasons and can be ignored. 2) Base manifold analysis: Analysis ------------------------------------ The analysis of the base manifold data is organized in lists. There is one list for each directory in Base. Ex. p9v8-140-229analysis contains the analysis of the base manifolds to the polytopes (from 140 to 229) of 9 points and 8 vertices. 3) Fourfold CICY data: Fourfold -------------------------------- The files are divided in directories and labeled with the same criteria as for the base data files. We added the prefix "cy4" that stands for Calabi-Yau fourfold. Ex. cy4p9v8n224d1-3-3-2t1 4) Ngut data: Ngut ------------------ N-lattice polytopes corresponding to SO(10) and SU(5) GUT models (without redundancies). We added the following suffix to the filenames in 3): ...-N-n-1 - : Type of GUT gauge theory (either so10, su5) - N: stands for N-lattice - : Number of the nef-partition from the ouput 3) that is compatible with the elliptic fibration - : Number of the GUT divisor in the list of the Del Pezzo divisors (eg. 4 means fourth Del Pezzo divisor of the Base) The last number "1" is carried for diagnostic reasons. Ex.: cy4p9v8n224d1-3-3-2t1-so10-N1-n2-1 N-lattice polytope with SO(10) GUT on divisor 2 in the Del Pezzo list (see output 1). This polytope is constructed starting from the fourfold determined by cy4p9v8n224d1-3-3-2t1 and the nef-partition 1. NOTE: We have computed the GUT model polytopes only when following conditions were satisfied: 1) base point free base; 2) at least one del Pezzo surface in the base; 3) CICY fourfold described by reflexive polyhedra and nef-partition compatible with the elliptic fibration over base threefold. 5) u1Ngut data: u1Ngut ---------------------- N-lattice polytopes corresponding to SO(10)/SU(5) GUT models with global U(1) symmetry (without redundancies). The organization of these data is analogous to that of 4).