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

Abstract

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.

10 pages. Accepted for publication in JHEP

References in corpus (3)

• K3 surfaces with non-symplectic involution and compact irreducible G_2-manifolds
• Fano versus Calabi - Yau
• Calabi-Yau construction by smoothing normal crossing varieties

Cited by in corpus (1)

• Reflections of NS5 branes