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- Mirror_symmetry_(string_theory) abstract "In mathematics and theoretical physics, mirror symmetry is a relationship between geometric objects called Calabi–Yau manifolds. It can happen that two Calabi–Yau manifolds look very different geometrically but are nevertheless equivalent if they are employed as extra dimensions of string theory. In this case, the manifolds are called mirror manifolds.Mirror symmetry was originally discovered by physicists. Mathematicians became interested in this relationship around 1990 when Philip Candelas, Xenia de la Ossa, Paul Green, and Linda Parks showed that it could be used as a tool in enumerative geometry, a branch of mathematics concerned with counting the number of solutions to geometric questions. Candelas and his collaborators showed that mirror symmetry could be used to count rational curves on a Calabi–Yau manifold, thus solving a longstanding problem. Although the original approach to mirror symmetry was based on physical ideas that were not understood in a mathematically precise way, some of its mathematical predictions have since been proven rigorously.Today mirror symmetry is a major research topic in pure mathematics, and mathematicians are working to develop a mathematical understanding of the relationship based on physicists' intuition. Mirror symmetry is also a fundamental tool for doing calculations in string theory, and it has been used to understand aspects of quantum field theory, the formalism that physicists use to describe elementary particles. Major approaches to mirror symmetry include the homological mirror symmetry program of Maxim Kontsevich and the SYZ conjecture of Andrew Strominger, Shing-Tung Yau, and Eric Zaslow.".
- Mirror_symmetry_(string_theory) thumbnail Open_and_closed_strings.svg?width=300.
- Mirror_symmetry_(string_theory) wikiPageExternalLink what-is.pdf.
- Mirror_symmetry_(string_theory) wikiPageID "644671".
- Mirror_symmetry_(string_theory) wikiPageRevisionID "605665819".
- Mirror_symmetry_(string_theory) hasPhotoCollection Mirror_symmetry_(string_theory).
- Mirror_symmetry_(string_theory) subject Category:Algebraic_geometry.
- Mirror_symmetry_(string_theory) subject Category:String_theory.
- Mirror_symmetry_(string_theory) type Ability105616246.
- Mirror_symmetry_(string_theory) type Abstraction100002137.
- Mirror_symmetry_(string_theory) type Cognition100023271.
- Mirror_symmetry_(string_theory) type DualityTheories.
- Mirror_symmetry_(string_theory) type Explanation105793000.
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- Mirror_symmetry_(string_theory) type PsychologicalFeature100023100.
- Mirror_symmetry_(string_theory) type Theory105989479.
- Mirror_symmetry_(string_theory) type Thinking105770926.
- Mirror_symmetry_(string_theory) type TopologicalMethodsOfAlgebraicGeometry.
- Mirror_symmetry_(string_theory) comment "In mathematics and theoretical physics, mirror symmetry is a relationship between geometric objects called Calabi–Yau manifolds. It can happen that two Calabi–Yau manifolds look very different geometrically but are nevertheless equivalent if they are employed as extra dimensions of string theory. In this case, the manifolds are called mirror manifolds.Mirror symmetry was originally discovered by physicists.".
- Mirror_symmetry_(string_theory) label "Mirror symmetry (string theory)".
- Mirror_symmetry_(string_theory) label "Symétrie miroir".
- Mirror_symmetry_(string_theory) label "Зеркальная симметрия (теория струн)".
- Mirror_symmetry_(string_theory) label "ミラー対称性 (弦理論)".
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- Mirror_symmetry_(string_theory) sameAs Mirror_symmetry_(string_theory).
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- Mirror_symmetry_(string_theory) depiction Open_and_closed_strings.svg.
- Mirror_symmetry_(string_theory) isPrimaryTopicOf Mirror_symmetry_(string_theory).