CICY Coxeter Database
Companion database to Kaleidoscopes, Waves and the Prepotential (Álvarez-García & Ruehle). It extends the favorable CICY list of Anderson–Gao–Gray–Lee (2017), built on the original CICYs of Candelas–Dale–Lütken–Schimmrigk (1988), with data pertaining to the Coxeter symmetries that isomorphic flops induce on the Kähler moduli space.
Examples: CICY 6771 \([\mathrm{I}_2(\infty)\,(H)]\), CICY 6971 \([\mathrm{I}_2(\infty)\,(P)]\), CICY 5528 \([\mathrm{I}_2(4)]\).
- 7890
- CICYs total
- 4874
- Kähler-favorable
- 2182
- Coxeter symmetry
- 251
- Infinite Coxeter group
Downloads
The complete database in two formats.
Database files
All 7890 entries. The 4874 Kähler-favorable ones carry full iso-flop Coxeter symmetry data.
Citation
R. Álvarez-García and F. Ruehle, Kaleidoscopes, Waves and the Prepotential, 2026 (arXiv: TBA).
@article{Alvarez-Garcia:2026tba,
author = "{\'A}lvarez-Garc{\'\i}a, Rafael and Ruehle, Fabian",
title = "{Kaleidoscopes, Waves and the Prepotential}",
eprint = "TBA",
archivePrefix = "arXiv",
primaryClass = "hep-th",
year = "2026"
}Plots
Distribution of iso-flop Coxeter symmetries across group rank and model Hodge number \(h^{1,1}\). Click on a cell to filter the Explorer below.
Atlas
All 22 iso-flop Coxeter symmetries, arranged by rank and group type.
Explorer
Filter and search all 7890 entries. Every row links to its model page.
- Initializing DuckDB-WASM
- Downloading database (~180 kB)
- Building view
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