Search results
In the context of topological string theory, mirror symmetry states that two theories called the A-model and B-model are equivalent in the sense that there is a duality relating them. Today mirror symmetry is an active area of research in mathematics, and mathematicians are working to develop a more complete mathematical understanding of mirror ...
Mirror Symmetry Cumrun Vafa and Eric Zaslow, Editors 1 AMS CMI www.ams.org www.claymath.org Mirror symmetry is a phenomenon arising in string theory in which two very different manifolds give rise to equivalent physics. Such a correspondence has significant mathematical consequences, the most familiar of which involves the
Overview of mirror symmetry Lecture 1, August 29, 2019 The course is topics in algebraic geometry. We will be doing some sort of mirror sym-metry. We will start with some historical overview. 1. Enumerative mirror symmetry Let X be a CY manifold. In particular we will focus on CY 3-folds. This means KX = detT X ≃OX is trivial as a holomorphic ...
The identi cation of the topological string A- and B-models by mirror symmetry leads to surprising connections in mathematics and provides tools for exact computations as well as new insights in physics. A recursive construction of the higher genus amplitudes of topological string theory expressed as polynomials is reviewed. 1
1. Physical Origins. Mirror symmetry comes from statements in supersymmetric string theory. Ba sic idea of string theory: replace particles with vibrating strings, which propogate through space and form surfaces. We thus get 2-d quantum field theories on these surfaces, called worldsheets, with the fields taking values in some manifolds.
Apr 19, 2018 · Publish with us. Policies and ethics. In the background to the discovery of the mirror symmetry hypothesis there exists an idea of compactifying extra 6 dimensions of 10-dimensional heterotic string theory in order to obtain a 4-dimensional grand unified theory that describes our real world.
Dec 1, 2022 · Abstract. Under the compactification by the Calabi-Yau threefold, the string theory shows there is duality called mirror symmetry, which implies there is an isomorphism between two string theories under the compactifications of two topologically different internal manifolds.
