Conifold

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High Quality Content by WIKIPEDIA articles! In mathematics and string theory, a conifold is a generalization of a manifold. Unlike manifolds, conifolds can contain conical singularities i.e. points whose neighbourhoods look like cones over a certain base. In physics, in particular in flux compactifications of string theory, the base is usually a five-dimensional real manifold, since the typically considered conifolds are complex 3-dimensional (real 6-dimensional) spaces. Conifolds are important objects in string theory: Brian Greene explains the physics of conifolds in Chapter 13 of his book The Elegant Universe - including the fact that the space can tear near the cone, and its topology can change. This possibility was first noticed by Candelas et al. (1988) and employed by Green & Hübsch (1988) to prove that conifolds provide a connection between all (then) known Calabi-Yau compactifications in string theory; this supports a conjecture by Reid (1987) whereby conifolds connect all possible Calabi-Yau complex 3-dimensional spaces.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786131193903
    • Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
    • EAN 9786131193903
    • Format Fachbuch
    • Titel Conifold
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 96
    • Genre Mathematik

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