Calabi-Yau manifolds from pairs of non-compact Calabi-Yau manifolds

Details Calabi-Yau manifolds from pairs of non-compact Calabi-Yau manifolds Calabi-Yau manifolds from pairs of non-compact Calabi-Yau manifolds

2010-04-12

arxiv.org/abs/1004.1858v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages. Accepted for publication in JHEP

Scientific paper

Most of Calabi-Yau manifolds that have been considered by physicists are complete intersection Calabi-Yau manifolds of toric varieties or some quotients of product types. Purpose of this paper is to introduce a different and rather new kind of construction method of Calabi-Yau manifolds by pasting two non-compact Calabi-Yau manifolds. We will also in some details explain a curious and mysterious similarity with construction of some $G_2$-manifolds (also called Joyce manifolds), which are base spaces for M-theory.

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