The Expanding Zoo of Calabi-Yau Threefolds. (1st August 2011)

• Record Type: Journal Article
• Authors: Davies, Rhys
• Other Names: He Yang-Hui Academic Editor.
• Is Part Of: Advances in high energy physics. Volume 2011(2011)
• Publication Date: 2011-08-01
• Subjects: Particles (Nuclear physics) -- Periodicals; Particles (Nuclear physics); Periodicals; 539.76
• DOI: 10.1155/2011/901898
• Languages: English
• ISSNs: 1687-7357

Abstract

Abstract : This is a short review of recent constructions of new Calabi-Yau threefolds with small Hodge numbers and/or nontrivial fundamental group, which are of particular interest for model building in the context of heterotic string theory. The two main tools are topological transitions and taking quotients by actions of discrete groups. Both of these techniques can produce new manifolds from existing ones, and they have been used to bring many new specimens to the previously sparse corner of the Calabi-Yau zoo, where both Hodge numbers are small. Two new manifolds are also obtained here from hyperconifold transitions, including the first example with fundamental groupS 3, the smallest non-Abelian group.