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Complete classification of reflexive polyhedra in four dimensions
Open accessAbstract
Four dimensional reflexive polyhedra encode the data for smooth Calabi-Yau threefolds that are hypersurfaces in toric varieties, and have important applications both in perturbative and in non-perturbative string theory.We describe how we obtained all 473,800,776 reflexive polyhedra that exist in four dimensions and the 30,108 distinct pairs of Hodge numbers of the resulting Calabi-Yau manifolds.As a byproduct we show that all these spaces (and hence the corresponding string vacua) are connected via a chain of singular transitions.
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Citations
Cited by
Douglas, M. R., & Kachru, S. (2007) · Reviews of Modern Physics · doi:10.1103/revmodphys.79.733 · Cited by 1,122
Four-dimensional string compactifications with D-branes, orientifolds and fluxes
Blumenhagen, R., Körs, B., Lüst, D., & Stieberger, S. (2007) · Physics Reports · doi:10.1016/j.physrep.2007.04.003 · Cited by 890
The statistics of string/M theory vacua
Douglas, M. R. (2003) · Journal of High Energy Physics · doi:10.1088/1126-6708/2003/05/046 · Cited by 791
Constraints on axion inflation from the weak gravity conjecture
Rudelius, T. (2015) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2015/9/020 · Cited by 92
Metadata
- Authors
- Kreuzer, M., & Skarke, H.
- Venue
- Advances in Theoretical and Mathematical Physics
- Publisher
- International Press of Boston
- Published
- 2000
- Volume
- 4
- Issue
- 6
- Pages
- 1209-1230
- ISSN
- 1095-0753 (ISSN-L)
- 1095-0761
- OpenAlex
- W2963800692
- Cited by
- 472
- References
- 0
- FWCI
- 6.89
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Kreuzer, M., & Skarke, H. (2000). Complete classification of reflexive polyhedra in four dimensions. Advances in Theoretical and Mathematical Physics. https://doi.org/10.4310/atmp.2000.v4.n6.a2
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