Complete classification of reflexive polyhedra in four dimensions

Simple item page
dc.creatorKreuzer, Maximilian
dc.creatorSkarke, Harald
dc.date2000-02-28
dc.date.accessioned2026-07-07T04:09:33Z
dc.date.available2026-07-07T04:09:33Z
dc.descriptionFour 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 by-product we show that all these spaces (and hence the corresponding string vacua) are connected via a chain of singular transitions.
dc.description22 pages, latex2e
dc.identifierhttps://arxiv.org/abs/hep-th/0002240
dc.identifierhttp://arxiv.org/abs/hep-th/0002240
dc.identifierAdv.Theor.Math.Phys. 4 (2002) 1209-1230
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/49891
dc.subjectHigh Energy Physics - Theory
dc.subjectAlgebraic Geometry
dc.titleComplete classification of reflexive polyhedra in four dimensions
dc.typetext

Files

Collections

arXiv