Calabi-Yau manifolds - motivations and constructions
type: Item
instance of: scholarly article
title: Calabi-Yau manifolds - motivations and constructions
zbMATH Open document ID: 0602.53061
DOI: 10.1007/BF01210616
author: T. Hübsch
published in: Communications in Mathematical Physics
publication date: 1987-01-01T00:00:00Z
review text: The possible ways of compactification of the \(E_ 8\otimes E_ 8\) superstring theory to four dimensions are reviewed. The phenomenological need for \(N=1\) supersymmetry is argued (on quite general grounds) to favour the choice of a Calabi-Yau manifold for the compact internal manifold. The massless spectrum after compactification is derived in full detail revealing, beside the usual particles, others that may have great phenomenological impact. The technical aspects of the construction of such manifolds are examined and the methods of calculation of the relevant topological properties are given. A big family of such constructions, giving rise to many new Calabi-Yau manifolds, is presented and its relevance to the search of a phenomenologically acceptable solution is discussed.
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 83E50
Mathematics Subject Classification ID: 81T60
zbMATH DE Number: 3971694
zbMATH Keywords: compactification
zbMATH Keywords: superstring theory
zbMATH Keywords: Calabi-Yau manifold
zbMATH Keywords: massless spectrum
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3971694