Work

Complete classification of reflexive polyhedra in four dimensions

Year: 2000

Type: article

Abstract: 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.

Source: Advances in Theoretical and Mathematical Physics

DOI: 10.4310/atmp.2000.v4.n6.a2

Authors: Maximilian Kreuzer, Harald Skarke

Institutions: TU Wien, Humboldt-Universität zu Berlin

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: European Commission, Austrian Science Fund, Technische Universität Wien

OpenAlex ID: W2963800692