An Abundance of K3 Fibrations from Polyhedra with Interchangeable Parts

Author: 

Candelas, P
Constantin, A
Skarke, H

Publication Date: 

19 July 2012

Journal: 

Communications in Mathematical Physics

Last Updated: 

2018-09-11T20:44:59.033+01:00

abstract: 

Even a cursory inspection of the Hodge plot associated with Calabi-Yau
threefolds that are hypersurfaces in toric varieties reveals striking
structures. These patterns correspond to webs of elliptic-K3 fibrations whose
mirror images are also elliptic-K3 fibrations. Such manifolds arise from
reflexive polytopes that can be cut into two parts along slices corresponding
to the K3 fibers. Any two half-polytopes over a given slice can be combined
into a reflexive polytope. This fact, together with a remarkable relation on
the additivity of Hodge numbers, explains much of the structure of the observed
patterns.

Symplectic id: 

344410

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Submitted to ORA: 

Not Submitted

Publication Type: 

Journal Article